仿紧局部紧空间映象的若干结论的推广  

The Generalizations of a Few Conclusions on the Images of Paracompact Locally Compact Spaces

作　　者：蔡长勇[1] 李进金[2] 

机构地区：[1]广西大学数学与信息科学学院,南宁广西530004 [2]漳州师范学院数学系,漳州福建363000

出　　处：《数学进展》2007年第1期18-22,共5页Advances in Mathematics（China）

基　　金：国家自然科学基金(No.10571151;10671173);福建省自然科学基金(No.Z0511033)

摘　　要：让ψ是蕴含仿紧性的映射保持的闭遗传性质．本文建立了仿紧局部ψ空间的闭映象、某些序列覆盖L映象的内在特征的一般性定理,推广了仿紧局部紧空间映象等的若干结论．Let ψ be the property that implies paracompactness, is preserved by maps and is hereditary with respect to closed subspaces. In this paper we establish some general theorems of internal characterizations of closed images and some sequence-covering L-images of paracompact local C-spaces, which generalizes a few conclusions on the images of paracompact locally compact spaces and so on.

关 键 词：闭映射 序列覆盖映射 紧覆盖映射 cfp覆盖 仿紧空间 

分 类 号：O189.1[理学—数学]