几乎局部紧空间在什么条件下是超完全空间

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

数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 430-434.doi: 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

School of Mathematics and Statistics,Minnan Normal University

收稿日期:2015-03-27 出版日期:2016-12-30 发布日期:2020-11-03
作者简介: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.
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)；

When is an Almost Locally Compact Space Supercomplete?

School of Mathematics and Statistics,Minnan Normal University

Received:2015-03-27 Online:2016-12-30 Published:2020-11-03
About author: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.
Supported by:
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)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O189.11

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.

LI Xiao-ting, LIN Fu-cai. When is an Almost Locally Compact Space Supercomplete?[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 430-434.

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几乎局部紧空间在什么条件下是超完全空间

When is an Almost Locally Compact Space Supercomplete?

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