B(LF, $ ω^{2} $)-refinability of inverse limits
Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-ref...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Xiong, Zhao-hui [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
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| Anmerkung: |
© Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 |
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| Übergeordnetes Werk: |
Enthalten in: Applied mathematics - Berlin [u.a.] : Editorial commitee of applied mathematics, 1993, 25(2010), 4 vom: Dez., Seite 496-502 |
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| Übergeordnetes Werk: |
volume:25 ; year:2010 ; number:4 ; month:12 ; pages:496-502 |
| Links: |
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| DOI / URN: |
10.1007/s11766-010-2366-y |
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| Katalog-ID: |
SPR022293590 |
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| 100 | 1 | |a Xiong, Zhao-hui |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a B(LF, $ ω^{2} $)-refinability of inverse limits |
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| 500 | |a © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 | ||
| 520 | |a Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. | ||
| 650 | 4 | |a Inverse limit |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a ( |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a )-refinability |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a hereditary |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a ( |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a )-refinability |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Yang, Ming-quan |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Applied mathematics |d Berlin [u.a.] : Editorial commitee of applied mathematics, 1993 |g 25(2010), 4 vom: Dez., Seite 496-502 |w (DE-627)527579777 |w (DE-600)2277401-4 |x 1993-0445 |7 nnns |
| 773 | 1 | 8 | |g volume:25 |g year:2010 |g number:4 |g month:12 |g pages:496-502 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s11766-010-2366-y |z lizenzpflichtig |3 Volltext |
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10.1007/s11766-010-2366-y doi (DE-627)SPR022293590 (SPR)s11766-010-2366-y-e DE-627 ger DE-627 rakwb eng Xiong, Zhao-hui verfasserin aut B(LF, $ ω^{2} $)-refinability of inverse limits 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. Inverse limit (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 hereditary (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 Yang, Ming-quan aut Enthalten in Applied mathematics Berlin [u.a.] : Editorial commitee of applied mathematics, 1993 25(2010), 4 vom: Dez., Seite 496-502 (DE-627)527579777 (DE-600)2277401-4 1993-0445 nnns volume:25 year:2010 number:4 month:12 pages:496-502 https://dx.doi.org/10.1007/s11766-010-2366-y 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_65 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_121 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_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 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_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 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_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_2700 GBV_ILN_2817 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 25 2010 4 12 496-502 |
| spelling |
10.1007/s11766-010-2366-y doi (DE-627)SPR022293590 (SPR)s11766-010-2366-y-e DE-627 ger DE-627 rakwb eng Xiong, Zhao-hui verfasserin aut B(LF, $ ω^{2} $)-refinability of inverse limits 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. Inverse limit (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 hereditary (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 Yang, Ming-quan aut Enthalten in Applied mathematics Berlin [u.a.] : Editorial commitee of applied mathematics, 1993 25(2010), 4 vom: Dez., Seite 496-502 (DE-627)527579777 (DE-600)2277401-4 1993-0445 nnns volume:25 year:2010 number:4 month:12 pages:496-502 https://dx.doi.org/10.1007/s11766-010-2366-y 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_65 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_121 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_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 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_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 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_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_2700 GBV_ILN_2817 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 25 2010 4 12 496-502 |
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10.1007/s11766-010-2366-y doi (DE-627)SPR022293590 (SPR)s11766-010-2366-y-e DE-627 ger DE-627 rakwb eng Xiong, Zhao-hui verfasserin aut B(LF, $ ω^{2} $)-refinability of inverse limits 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. Inverse limit (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 hereditary (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 Yang, Ming-quan aut Enthalten in Applied mathematics Berlin [u.a.] : Editorial commitee of applied mathematics, 1993 25(2010), 4 vom: Dez., Seite 496-502 (DE-627)527579777 (DE-600)2277401-4 1993-0445 nnns volume:25 year:2010 number:4 month:12 pages:496-502 https://dx.doi.org/10.1007/s11766-010-2366-y 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_65 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_121 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_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 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_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 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_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_2700 GBV_ILN_2817 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 25 2010 4 12 496-502 |
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10.1007/s11766-010-2366-y doi (DE-627)SPR022293590 (SPR)s11766-010-2366-y-e DE-627 ger DE-627 rakwb eng Xiong, Zhao-hui verfasserin aut B(LF, $ ω^{2} $)-refinability of inverse limits 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. Inverse limit (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 hereditary (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 Yang, Ming-quan aut Enthalten in Applied mathematics Berlin [u.a.] : Editorial commitee of applied mathematics, 1993 25(2010), 4 vom: Dez., Seite 496-502 (DE-627)527579777 (DE-600)2277401-4 1993-0445 nnns volume:25 year:2010 number:4 month:12 pages:496-502 https://dx.doi.org/10.1007/s11766-010-2366-y 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_65 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_121 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_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 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_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 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_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_2700 GBV_ILN_2817 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 25 2010 4 12 496-502 |
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10.1007/s11766-010-2366-y doi (DE-627)SPR022293590 (SPR)s11766-010-2366-y-e DE-627 ger DE-627 rakwb eng Xiong, Zhao-hui verfasserin aut B(LF, $ ω^{2} $)-refinability of inverse limits 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. Inverse limit (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 hereditary (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 Yang, Ming-quan aut Enthalten in Applied mathematics Berlin [u.a.] : Editorial commitee of applied mathematics, 1993 25(2010), 4 vom: Dez., Seite 496-502 (DE-627)527579777 (DE-600)2277401-4 1993-0445 nnns volume:25 year:2010 number:4 month:12 pages:496-502 https://dx.doi.org/10.1007/s11766-010-2366-y 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_65 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_121 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_374 GBV_ILN_602 GBV_ILN_636 GBV_ILN_647 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_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 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_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_2700 GBV_ILN_2817 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_4277 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_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4700 GBV_ILN_4753 AR 25 2010 4 12 496-502 |
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Enthalten in Applied mathematics 25(2010), 4 vom: Dez., Seite 496-502 volume:25 year:2010 number:4 month:12 pages:496-502 |
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Enthalten in Applied mathematics 25(2010), 4 vom: Dez., Seite 496-502 volume:25 year:2010 number:4 month:12 pages:496-502 |
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Xiong, Zhao-hui @@aut@@ Yang, Ming-quan @@aut@@ |
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| author |
Xiong, Zhao-hui |
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Xiong, Zhao-hui misc Inverse limit misc ( misc )-refinability misc hereditary B(LF, $ ω^{2} $)-refinability of inverse limits |
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| topic_title |
B(LF, $ ω^{2} $)-refinability of inverse limits Inverse limit (dpeaa)DE-He213 ( (dpeaa)DE-He213 )-refinability (dpeaa)DE-He213 hereditary (dpeaa)DE-He213 |
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misc Inverse limit misc ( misc )-refinability misc hereditary |
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misc Inverse limit misc ( misc )-refinability misc hereditary |
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misc Inverse limit misc ( misc )-refinability misc hereditary |
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Elektronische Aufsätze Aufsätze Elektronische Ressource |
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B(LF, $ ω^{2} $)-refinability of inverse limits |
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B(LF, $ ω^{2} $)-refinability of inverse limits |
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Xiong, Zhao-hui |
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Xiong, Zhao-hui Yang, Ming-quan |
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Elektronische Aufsätze |
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Xiong, Zhao-hui |
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10.1007/s11766-010-2366-y |
| title_sort |
b(lf, $ ω^{2} $)-refinability of inverse limits |
| title_auth |
B(LF, $ ω^{2} $)-refinability of inverse limits |
| abstract |
Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 |
| abstractGer |
Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 |
| abstract_unstemmed |
Abstract Let X be the limit of an inverse system {Xα, πβα, Λ } and and let λ be the cardinal number of Λ. Assume that each projection πα: X → Xα is an open and onto map and X is λ-paracompact. We prove that if each Xα is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable), then X is B(LF, ω2)-refinable (hereditarily B(LF, ω2)-refinable). Furthermore, we show that B(LF, ω2)-refinable spaces can be preserved inversely under closed maps. © Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2010 |
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B(LF, $ ω^{2} $)-refinability of inverse limits |
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https://dx.doi.org/10.1007/s11766-010-2366-y |
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Yang, Ming-quan |
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10.1007/s11766-010-2366-y |
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2024-07-04T02:35:12.694Z |
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| score |
7.4012938 |