Continuous Selections and Locally Pseudocompact Groups

被引:0
作者
M. Sanchis
机构
[1] Universitat Jaume I,Departament de Matemàtiques
来源
Set-Valued Analysis | 2004年 / 12卷
关键词
selection; carrier; Weil completion; locally pseudocompact group; locally compact group;
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学科分类号
摘要
We characterize locally pseudocompact groups by means of the selection theory. Our result is the selection version of the well-known Comfort—Ross theorem on pseudocompactness which states that a topological group is pseudocompact if and only its Stone—Čech compactification is a topological group.
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页码:319 / 328
页数:9
相关论文
共 31 条
[1]  
Barbolla R.(1981)Continuous selections and realcompactness Pacific J. Math. 93 251-260
[2]  
Fontanillas J.(1982)Sélections uniformement continues dans les espaces uniformes de dimension finie C.R. Acad. Sci. Paris 294 47-50
[3]  
Barbolla R.(1976)Spaces in which special sets are Canad. J. Math. 28 673-690
[4]  
Fontanillas J.(1968)-embedded Trans. Amer. Math. Soc. 131 107-118
[5]  
Blair R. L.(1995)On the Hewitt realcompactification of a product space Topology Appl. 62 263-280
[6]  
Comfort W. W.(1963)Locally pseudocompact topological groups Colloq. Math. 11 55-63
[7]  
Comfort W.W.(1998)Remarks on dyadic spaces Set-Valued Anal. 6 149-170
[8]  
Trigos-Arrieta F. J.(2000)Continuous selections for continuous set-valued mappings and finite-dimensional sets Proceedings of the French-Japanese Conference “Hyperspace Topologies and Applications” (La Bussière, 1997) 104 101-118
[9]  
Engelking R.(1993)Generic extensions of finite-valued u.s.c. selections Topology Appl. 50 129-138
[10]  
Pelczyński A.(1992)Selection theorems under an assumption weaker than lower semicontinuity Topology Appl. 44 189-196