Two Notes on Topological Groups

Two Notes on Topological Groups

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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. 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.

作者 ZHANG Ke-xiu LIU Xin TANG Zhong-bao

机构地区 School of Mathematics and Statistics

出处《Chinese Quarterly Journal of Mathematics》 2016年第1期82-86,共5页 数学季刊（英文版）

基金 Supported by the National Natural Science Foundation of China(11201414,11471153)

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

分类号 O189.1 [理学—基础数学]

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参考文献15

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Chinese Quarterly Journal of Mathematics

2016年第1期

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Two Notes on Topological Groups

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