几乎局部紧空间在什么条件下是超完全空间

李晓婷, 林福财

doi:10.13371/j.cnki.chin.q.j.m.2016.04.012

数学季刊 >

2016 , Vol. 31 >Issue 4: 430 - 434

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.012

几乎局部紧空间在什么条件下是超完全空间

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School of Mathematics and Statistics,Minnan Normal University

LI Xiao-ting(1990-), female, native of Huizhou, Guangdong, M.S.D., engages in general topology; LIN Fu-cai(1979-), male, native of Quanzhou, Fujian, an associate professor of Minnan Normal University, Ph.D., engages in general topology.

收稿日期: 2015-03-27

网络出版日期: 2020-11-03

基金资助

Supported by the National Natural Science Foundation of China(11201414,11571158,11171162)； Supported by the Natural Science Foundation of Fujian Province(2012J05013)； Supported by the Training Programme Foundation for Excellent Youth Researching Talents of Fujian’s Universities(JA13190)；

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When is an Almost Locally Compact Space Supercomplete?

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School of Mathematics and Statistics,Minnan Normal University

Received date: 2015-03-27

Online published: 2020-11-03

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摘要

It is proved in this paper that(1) the topological sum of a family of supercomplete spaces is supercomplete;(2) if X is a metacompact and almost locally compact space then X is supercomplete. Moreover, some questions on supercomplete spaces are posed in the paper.

关键词： supercomplete spaces; sums of topological spaces; almost locally compact; metacompact spaces

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李晓婷, 林福财 . 几乎局部紧空间在什么条件下是超完全空间[J]. 数学季刊, 2016 , 31(4) : 430 -434 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.012

Abstract

Key words： supercomplete spaces; sums of topological spaces; almost locally compact; metacompact spaces

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