Dugundji Compacta and the Space of Idempotent Probability Measures

Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group...
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Autor*in:	Zaitov, A. A. [verfasserIn] Eshkobilova, D. T.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	idempotent measure Dugundji compactum topological transformation group

Anmerkung:	© Pleiades Publishing, Ltd. 2023

Übergeordnetes Werk:	Enthalten in: Mathematical notes - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967, 114(2023), 3-4 vom: Okt., Seite 433-442
Übergeordnetes Werk:	volume:114 ; year:2023 ; number:3-4 ; month:10 ; pages:433-442

Links:	Volltext

DOI / URN:	10.1134/S000143462309016X

Katalog-ID:	SPR053508653

Internformat


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520			\|a Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained.
650		4	\|a idempotent measure \|7 (dpeaa)DE-He213
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912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
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912			\|a GBV_ILN_4307
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912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
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Indexfelder

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publishDate	2023
allfields	10.1134/S000143462309016X doi (DE-627)SPR053508653 (SPR)S000143462309016X-e DE-627 ger DE-627 rakwb eng Zaitov, A. A. verfasserin aut Dugundji Compacta and the Space of Idempotent Probability Measures 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. idempotent measure (dpeaa)DE-He213 Dugundji compactum (dpeaa)DE-He213 topological transformation group (dpeaa)DE-He213 Eshkobilova, D. T. aut Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 3-4 vom: Okt., Seite 433-442 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:3-4 month:10 pages:433-442 https://dx.doi.org/10.1134/S000143462309016X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 114 2023 3-4 10 433-442
spelling	10.1134/S000143462309016X doi (DE-627)SPR053508653 (SPR)S000143462309016X-e DE-627 ger DE-627 rakwb eng Zaitov, A. A. verfasserin aut Dugundji Compacta and the Space of Idempotent Probability Measures 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. idempotent measure (dpeaa)DE-He213 Dugundji compactum (dpeaa)DE-He213 topological transformation group (dpeaa)DE-He213 Eshkobilova, D. T. aut Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 3-4 vom: Okt., Seite 433-442 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:3-4 month:10 pages:433-442 https://dx.doi.org/10.1134/S000143462309016X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 114 2023 3-4 10 433-442
allfields_unstemmed	10.1134/S000143462309016X doi (DE-627)SPR053508653 (SPR)S000143462309016X-e DE-627 ger DE-627 rakwb eng Zaitov, A. A. verfasserin aut Dugundji Compacta and the Space of Idempotent Probability Measures 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. idempotent measure (dpeaa)DE-He213 Dugundji compactum (dpeaa)DE-He213 topological transformation group (dpeaa)DE-He213 Eshkobilova, D. T. aut Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 3-4 vom: Okt., Seite 433-442 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:3-4 month:10 pages:433-442 https://dx.doi.org/10.1134/S000143462309016X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 114 2023 3-4 10 433-442
allfieldsGer	10.1134/S000143462309016X doi (DE-627)SPR053508653 (SPR)S000143462309016X-e DE-627 ger DE-627 rakwb eng Zaitov, A. A. verfasserin aut Dugundji Compacta and the Space of Idempotent Probability Measures 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. idempotent measure (dpeaa)DE-He213 Dugundji compactum (dpeaa)DE-He213 topological transformation group (dpeaa)DE-He213 Eshkobilova, D. T. aut Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 3-4 vom: Okt., Seite 433-442 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:3-4 month:10 pages:433-442 https://dx.doi.org/10.1134/S000143462309016X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 114 2023 3-4 10 433-442
allfieldsSound	10.1134/S000143462309016X doi (DE-627)SPR053508653 (SPR)S000143462309016X-e DE-627 ger DE-627 rakwb eng Zaitov, A. A. verfasserin aut Dugundji Compacta and the Space of Idempotent Probability Measures 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. idempotent measure (dpeaa)DE-He213 Dugundji compactum (dpeaa)DE-He213 topological transformation group (dpeaa)DE-He213 Eshkobilova, D. T. aut Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 3-4 vom: Okt., Seite 433-442 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:3-4 month:10 pages:433-442 https://dx.doi.org/10.1134/S000143462309016X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 114 2023 3-4 10 433-442
language	English
source	Enthalten in Mathematical notes 114(2023), 3-4 vom: Okt., Seite 433-442 volume:114 year:2023 number:3-4 month:10 pages:433-442
sourceStr	Enthalten in Mathematical notes 114(2023), 3-4 vom: Okt., Seite 433-442 volume:114 year:2023 number:3-4 month:10 pages:433-442
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	idempotent measure Dugundji compactum topological transformation group
isfreeaccess_bool	false
container_title	Mathematical notes
authorswithroles_txt_mv	Zaitov, A. A. @@aut@@ Eshkobilova, D. T. @@aut@@
publishDateDaySort_date	2023-10-01T00:00:00Z
hierarchy_top_id	32557328X
id	SPR053508653
language_de	englisch
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author	Zaitov, A. A.
spellingShingle	Zaitov, A. A. misc idempotent measure misc Dugundji compactum misc topological transformation group Dugundji Compacta and the Space of Idempotent Probability Measures
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topic_title	Dugundji Compacta and the Space of Idempotent Probability Measures idempotent measure (dpeaa)DE-He213 Dugundji compactum (dpeaa)DE-He213 topological transformation group (dpeaa)DE-He213
topic	misc idempotent measure misc Dugundji compactum misc topological transformation group
topic_unstemmed	misc idempotent measure misc Dugundji compactum misc topological transformation group
topic_browse	misc idempotent measure misc Dugundji compactum misc topological transformation group
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title	Dugundji Compacta and the Space of Idempotent Probability Measures
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title_full	Dugundji Compacta and the Space of Idempotent Probability Measures
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author_browse	Zaitov, A. A. Eshkobilova, D. T.
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doi_str_mv	10.1134/S000143462309016X
title_sort	dugundji compacta and the space of idempotent probability measures
title_auth	Dugundji Compacta and the Space of Idempotent Probability Measures
abstract	Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. © Pleiades Publishing, Ltd. 2023
abstractGer	Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. © Pleiades Publishing, Ltd. 2023
abstract_unstemmed	Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. A Dugundji compactness criterion for the space of idempotent probability measures is obtained. © Pleiades Publishing, Ltd. 2023
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title_short	Dugundji Compacta and the Space of Idempotent Probability Measures
url	https://dx.doi.org/10.1134/S000143462309016X
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author2	Eshkobilova, D. T.
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doi_str	10.1134/S000143462309016X
up_date	2024-07-03T20:02:20.525Z
_version_	1803589454969962497
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">SPR053508653</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20231025064648.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">231025s2023 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S000143462309016X</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR053508653</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)S000143462309016X-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zaitov, A. A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dugundji Compacta and the Space of Idempotent Probability Measures</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2023</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract For a given group %$(G,X,\alpha)%$ of topological transformations on a Tikhonov space %$X%$, a group %$(I(G, X), I(X), I(\alpha))%$ of topological transformations on the space %$I(X)%$ of idempotent probability measures is constructed. It is shown that, if the action %$\alpha%$ of the group %$G%$ is open, then the action %$I(\alpha)%$ of the group %$I(G,X)%$ is also open; while an example is given showing that the openness of the action %$\alpha%$ is substantial. It has been established that, if the diagonal product %$\Delta f_{p}%$ of a given family %$\{f_{p}, f_{pq}; A\}%$ of continuous mappings is an embedding, then the diagonal product %$\Delta I(f_{p})%$ of the family %$\{I(f_{p}), I(f_{pq}); A\}%$ of continuous mappings is also an embedding. 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