拓扑群的注记

数学季刊 ›› 2016, Vol. 31 ›› Issue (1): 82-86.

拓扑群的注记

School of Mathematics and Statistics, Minnan Normal University

收稿日期:2014-10-09 出版日期:2016-03-30 发布日期:2020-11-18
作者简介:ZHANG Ke-xiu(1978-), female, native of Linyi, Shandong, a lecturer of Minnan Normal University, engages in general topology; LIU Xin(1986-), male, native of Xinyang, Henan, a postgraduate of Minnan Normal University, engages in general topology; TANG Zhong-bao(1984-), male, native of Hengyang, Hunan, a postgraduate of Minnan Normal University, engages in general topology.
基金资助:
Supported by the National Natural Science Foundation of China(11201414,11471153)；

Two Notes on Topological Groups

School of Mathematics and Statistics, Minnan Normal University

Received:2014-10-09 Online:2016-03-30 Published:2020-11-18
About author:ZHANG Ke-xiu(1978-), female, native of Linyi, Shandong, a lecturer of Minnan Normal University, engages in general topology; LIU Xin(1986-), male, native of Xinyang, Henan, a postgraduate of Minnan Normal University, engages in general topology; TANG Zhong-bao(1984-), male, native of Hengyang, Hunan, a postgraduate of Minnan Normal University, engages in general topology.
Supported by:
Supported by the National Natural Science Foundation of China(11201414,11471153)；

摘要/Abstract

摘要： In this short paper, we firstly give a short proof of Birkhoff-Kakutani Theorem by Moore metrizable Theorem. Then we prove that G is a topological group if it is a paratopological group which is a dense G_δ-set in a locally feebly compact regular space X.

关键词: topological group, first-countable, paratopological group, locally feebly compact, metrizable

Abstract: In this short paper, we firstly give a short proof of Birkhoff-Kakutani Theorem by Moore metrizable Theorem. Then we prove that G is a topological group if it is a paratopological group which is a dense G_δ-set in a locally feebly compact regular space X.

Key words: topological group, first-countable, paratopological group, locally feebly compact, metrizable

中图分类号:

O189.11

张可秀 , 刘鑫 , 唐忠宝. 拓扑群的注记[J]. 数学季刊, 2016, 31(1): 82-86.

ZHANG Ke-xiu, LIU Xin, TANG Zhong-bao. Two Notes on Topological Groups[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(1): 82-86.