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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
【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.
【Abstract】 Letψbe 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 localψ-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;
【Key words】 closed mappings; sequence-covering mappings; compact-covering mappings; cfp-covers; paracompact spaces;
【Key words】 closed mappings; sequence-covering mappings; compact-covering mappings; cfp-covers; paracompact spaces;
【基金】 国家自然科学基金(No.10571151,10671173);福建省自然科学基金(No.Z0511033)
- 【文献出处】 数学进展 ,Advances in Mathematics , 编辑部邮箱 ,2007年01期
- 【分类号】O189.1
- 【下载频次】94