| Cc （X） Spaces with X Locally Compact |
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| 引用本文： | J.C. FERRANDO S. MOLL. Cc （X） Spaces with X Locally Compact[J]. 数学学报(英文版), 2007, 23(9): 1593-1600. DOI: 10.1007/s10114-005-0812-1 |
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| 作者姓名： | J.C. FERRANDO S. MOLL |
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| 作者单位： | [1]Centro de InvestigaciSn Operativa, Universidad Miguel Herndndez, E-03202 Elche, Spain [2]Departamento de Matemdtica Aplicada, Universidad Politecnica, E-46022 Valencia, Spain |
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| 摘 要： | In this paper, we show, among other results, that if X is a [separable] locally compact space X [satisfying the first countability axiom] then the space Cc （X） has countable tightness [if and only if it has bounding tightness] if and only if it is Frechet-Urysohn, if and only if Cc （X） contains a dense （LM） subspace and if and only if X is a-compact.
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| 关 键 词： | 空间 密度 耦合 数学 |
| 收稿时间： | 2005-03-04 |
| 修稿时间： | 2005-03-04 |
Cc (X) Spaces with X Locally Compact |
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| J. C. Ferrando,S. Moll. Cc (X) Spaces with X Locally Compact[J]. Acta Mathematica Sinica(English Series), 2007, 23(9): 1593-1600. DOI: 10.1007/s10114-005-0812-1 |
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| Authors: | J. C. Ferrando S. Moll |
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| Affiliation: | (1) Centro de Investigación Operativa, Universidad Miguel Hernández, E-03202 Elche, Spain;(2) Departamento de Matemática Aplicada, Universidad Politécnica, E-46022 Valencia, Spain |
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| Abstract: | In this paper, we show, among other results, that if X is a [separable] locally compact space X [satisfying the first countability axiom] then the space C c (X) has countable tightness [if and only if it has bounding tightness] if and only if it is Fréchet–Urysohn, if and only if C c (X) contains a dense (LM) subspace and if and only if X is σ–compact. |
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| Keywords: | Fréchet– Urysohn space countable [bounding] tightness (LM)– space |
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