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Two Notes on Topological Groups
  • ISSN号：1002-0462
  • 期刊名称：《数学季刊：英文版》
  • 时间：0
  • 分类：O189.1[理学—数学;理学—基础数学]
  • 作者机构：School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China
  • 相关基金：Supported by the National Natural Science Foundation of China（11201414,11471153）
作者： ZHANG Ke-xiu, LIU Xin, TANG Zhong-bao
关键词： topological, group, first-countable, paratopological, group, locally, feebly, compact, METRIZABLE, topological group first-countable paratopological group locally feebly compact metrizable
中文摘要：

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.

英文摘要：

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.

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期刊信息
  • 《数学季刊：英文版》
  • 北大核心期刊（2004版）
  • 主管单位:
  • 主办单位:河南大学
  • 主编：胡和生 林群
  • 地址：河南省开封市明伦街85号河南大学
  • 邮编：475001
  • 邮箱：
  • 电话：0378-3881698
  • 国际标准刊号：ISSN：1002-0462
  • 国内统一刊号：ISSN：41-1102/O1
  • 邮发代号:36-170
  • 获奖情况:
  • 1998年河南省优秀科技期刊二等奖. 2000年河南省优...
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  • 被引量:468