Definable quotients of locally definable groups

Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Eleftheriou, Pantelis E. [verfasserIn] Peterzil, Ya’acov

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	O-minimality Locally definable groups Definable quotients Type-definable groups

Anmerkung:	© Springer Basel AG 2012

Übergeordnetes Werk:	Enthalten in: Selecta mathematica - Basel [u.a.] : Birkhäuser, 1995, 18(2012), 4 vom: 23. März, Seite 885-903
Übergeordnetes Werk:	volume:18 ; year:2012 ; number:4 ; day:23 ; month:03 ; pages:885-903

Links:	Volltext

DOI / URN:	10.1007/s00029-012-0091-5

Katalog-ID:	SPR00030588X

Internformat


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520			\|a Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ .
650		4	\|a O-minimality \|7 (dpeaa)DE-He213
650		4	\|a Locally definable groups \|7 (dpeaa)DE-He213
650		4	\|a Definable quotients \|7 (dpeaa)DE-He213
650		4	\|a Type-definable groups \|7 (dpeaa)DE-He213
700	1		\|a Peterzil, Ya’acov \|4 aut
773	0	8	\|i Enthalten in \|t Selecta mathematica \|d Basel [u.a.] : Birkhäuser, 1995 \|g 18(2012), 4 vom: 23. März, Seite 885-903 \|w (DE-627)254638821 \|w (DE-600)1462998-7 \|x 1420-9020 \|7 nnns
773	1	8	\|g volume:18 \|g year:2012 \|g number:4 \|g day:23 \|g month:03 \|g pages:885-903
856	4	0	\|u https://dx.doi.org/10.1007/s00029-012-0091-5 \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
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_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
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_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_2070
912			\|a GBV_ILN_2086
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_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
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_4012
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
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
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_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
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952			\|d 18 \|j 2012 \|e 4 \|b 23 \|c 03 \|h 885-903

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hierarchy_sort_str	2012
publishDate	2012
allfields	10.1007/s00029-012-0091-5 doi (DE-627)SPR00030588X (SPR)s00029-012-0091-5-e DE-627 ger DE-627 rakwb eng Eleftheriou, Pantelis E. verfasserin aut Definable quotients of locally definable groups 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . O-minimality (dpeaa)DE-He213 Locally definable groups (dpeaa)DE-He213 Definable quotients (dpeaa)DE-He213 Type-definable groups (dpeaa)DE-He213 Peterzil, Ya’acov aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 18(2012), 4 vom: 23. März, Seite 885-903 (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:18 year:2012 number:4 day:23 month:03 pages:885-903 https://dx.doi.org/10.1007/s00029-012-0091-5 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4012 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 18 2012 4 23 03 885-903
spelling	10.1007/s00029-012-0091-5 doi (DE-627)SPR00030588X (SPR)s00029-012-0091-5-e DE-627 ger DE-627 rakwb eng Eleftheriou, Pantelis E. verfasserin aut Definable quotients of locally definable groups 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . O-minimality (dpeaa)DE-He213 Locally definable groups (dpeaa)DE-He213 Definable quotients (dpeaa)DE-He213 Type-definable groups (dpeaa)DE-He213 Peterzil, Ya’acov aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 18(2012), 4 vom: 23. März, Seite 885-903 (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:18 year:2012 number:4 day:23 month:03 pages:885-903 https://dx.doi.org/10.1007/s00029-012-0091-5 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4012 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 18 2012 4 23 03 885-903
allfields_unstemmed	10.1007/s00029-012-0091-5 doi (DE-627)SPR00030588X (SPR)s00029-012-0091-5-e DE-627 ger DE-627 rakwb eng Eleftheriou, Pantelis E. verfasserin aut Definable quotients of locally definable groups 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . O-minimality (dpeaa)DE-He213 Locally definable groups (dpeaa)DE-He213 Definable quotients (dpeaa)DE-He213 Type-definable groups (dpeaa)DE-He213 Peterzil, Ya’acov aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 18(2012), 4 vom: 23. März, Seite 885-903 (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:18 year:2012 number:4 day:23 month:03 pages:885-903 https://dx.doi.org/10.1007/s00029-012-0091-5 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4012 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 18 2012 4 23 03 885-903
allfieldsGer	10.1007/s00029-012-0091-5 doi (DE-627)SPR00030588X (SPR)s00029-012-0091-5-e DE-627 ger DE-627 rakwb eng Eleftheriou, Pantelis E. verfasserin aut Definable quotients of locally definable groups 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . O-minimality (dpeaa)DE-He213 Locally definable groups (dpeaa)DE-He213 Definable quotients (dpeaa)DE-He213 Type-definable groups (dpeaa)DE-He213 Peterzil, Ya’acov aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 18(2012), 4 vom: 23. März, Seite 885-903 (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:18 year:2012 number:4 day:23 month:03 pages:885-903 https://dx.doi.org/10.1007/s00029-012-0091-5 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4012 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 18 2012 4 23 03 885-903
allfieldsSound	10.1007/s00029-012-0091-5 doi (DE-627)SPR00030588X (SPR)s00029-012-0091-5-e DE-627 ger DE-627 rakwb eng Eleftheriou, Pantelis E. verfasserin aut Definable quotients of locally definable groups 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . O-minimality (dpeaa)DE-He213 Locally definable groups (dpeaa)DE-He213 Definable quotients (dpeaa)DE-He213 Type-definable groups (dpeaa)DE-He213 Peterzil, Ya’acov aut Enthalten in Selecta mathematica Basel [u.a.] : Birkhäuser, 1995 18(2012), 4 vom: 23. März, Seite 885-903 (DE-627)254638821 (DE-600)1462998-7 1420-9020 nnns volume:18 year:2012 number:4 day:23 month:03 pages:885-903 https://dx.doi.org/10.1007/s00029-012-0091-5 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4012 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 18 2012 4 23 03 885-903
language	English
source	Enthalten in Selecta mathematica 18(2012), 4 vom: 23. März, Seite 885-903 volume:18 year:2012 number:4 day:23 month:03 pages:885-903
sourceStr	Enthalten in Selecta mathematica 18(2012), 4 vom: 23. März, Seite 885-903 volume:18 year:2012 number:4 day:23 month:03 pages:885-903
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	O-minimality Locally definable groups Definable quotients Type-definable groups
isfreeaccess_bool	false
container_title	Selecta mathematica
authorswithroles_txt_mv	Eleftheriou, Pantelis E. @@aut@@ Peterzil, Ya’acov @@aut@@
publishDateDaySort_date	2012-03-23T00:00:00Z
hierarchy_top_id	254638821
id	SPR00030588X
language_de	englisch
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author	Eleftheriou, Pantelis E.
spellingShingle	Eleftheriou, Pantelis E. misc O-minimality misc Locally definable groups misc Definable quotients misc Type-definable groups Definable quotients of locally definable groups
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topic_title	Definable quotients of locally definable groups O-minimality (dpeaa)DE-He213 Locally definable groups (dpeaa)DE-He213 Definable quotients (dpeaa)DE-He213 Type-definable groups (dpeaa)DE-He213
topic	misc O-minimality misc Locally definable groups misc Definable quotients misc Type-definable groups
topic_unstemmed	misc O-minimality misc Locally definable groups misc Definable quotients misc Type-definable groups
topic_browse	misc O-minimality misc Locally definable groups misc Definable quotients misc Type-definable groups
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title	Definable quotients of locally definable groups
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title_full	Definable quotients of locally definable groups
author_sort	Eleftheriou, Pantelis E.
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author_browse	Eleftheriou, Pantelis E. Peterzil, Ya’acov
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author-letter	Eleftheriou, Pantelis E.
doi_str_mv	10.1007/s00029-012-0091-5
title_sort	definable quotients of locally definable groups
title_auth	Definable quotients of locally definable groups
abstract	Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . © Springer Basel AG 2012
abstractGer	Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . © Springer Basel AG 2012
abstract_unstemmed	Abstract We study locally definable abelian groups %${\mathcal{U}}%$ in various settings and examine conditions under which the quotient of %${\mathcal{U}}%$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup %${\mathcal{U}^{00}}%$ and to the divisibility of %${\mathcal{U}}%$ . © Springer Basel AG 2012
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title_short	Definable quotients of locally definable groups
url	https://dx.doi.org/10.1007/s00029-012-0091-5
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