| csf可数空间的注记 |
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| 引用本文： | 林寿,葛英.csf可数空间的注记[J].高校应用数学学报(A辑),2017,32(1). |
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| 作者姓名： | 林寿 葛英 |
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| 作者单位： | 1. 闽南师范大学数学与统计学院,福建漳州,363000;2. 苏州大学数学科学学院,江苏苏州,215006 |
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| 摘 要： | 讨论csf可数空间的性质,把csf可数空间刻画为度量空间的映像,同时探讨了伪紧的csf可数空间的第一可数性质,推广了Arhangel’skiˇ?关于度量空间伪开s映像的结果,证明了正则伪紧的仿拓扑群是可度量化的当且仅当它是csf可数的Fr′echet空间.
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| 关 键 词： | csf可数空间 序列覆盖映射 伪紧空间 仿拓扑群 |
A note on csf-countable spaces |
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| LIN Shou,GE Ying.A note on csf-countable spaces[J].Applied Mathematics A Journal of Chinese Universities,2017,32(1). |
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| Authors: | LIN Shou GE Ying |
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| Abstract: | In this paper some properties of csf-countable spaces are discussed. csf-countable spaces can be characterized by certain images of metrizable spaces, the first-countability of pesudo-compact csf-countable spaces are explored, and it is proved a regular pseudo-compact paratopological group is metrizable if and only if it is a csf-countable Fréchet space. |
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| Keywords: | csf-countable spaces sequence-covering mappings pseudo-compact spaces paratopo-logical groups |
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