C_c(X)Spaces with X Locally Compact
C_c(X)Spaces with X Locally Compact作者机构:Centro de Investigación OperativaUniversidad Miquel Hernández Departamento de Matemática AplicadaUniversidad Politécnica
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2007年第23卷第9期
页 面:1593-1600页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:Frechet-Urysohn space countable [bounding] tightness (LM)-space
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.