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A Note on Almost Topological Groups
  • ISSN号：2095-2651
  • 期刊名称：Journal of Mathematical Research with Application
  • 时间：2015.1
  • 页码：85-91
  • 分类：O152.4[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematics and Statistics, Minnan Normal University, Fujian 363000, P. R. China, [2]Department of Mathematics, Ohio University Zanesville Campus, Zanesville, OH 43701, USA
  • 相关基金：Supported by the National Natural Science Foundation of China （Grant Nos. 11201414; 11471153）, the Natural Science Foundation of Fujian Province （Grant No. 2012J05013）, the Training Programme Foundation for Excellent Youth Researching Talents of Fujian＇s Universities （Grant No. JA13190） and the Foundation of the Education Department of Fujian Province （Grant No. JA14200）.We wish to thank the reviewers for the detailed list of corrections and suggestions to our paper, and all their efforts in order to improve our paper.
  • 相关项目：仿拓扑群的广义度量性质及其在紧化中的应用
作者： 刘鑫|林福财|刘川|
关键词： 拓扑群, 不变量, 基数, 可数, almost topological group, submetrizable, λ-narrow, separable
中文摘要：

In this paper, we mainly discuss some generalized metric properties and the cardinal invariants of almost topological groups. We give a characterization for an almost topological group to be a topological group and show that:(1) Each almost topological group that is of countable π-character is submetrizable;(2) Each left λ-narrow almost topological group isλ-narrow;(3) Each separable almost topological group is ω-narrow. Some questions are posed.

英文摘要：

In this paper, we mainly discuss some generalized metric properties and the cardinal invariants of almost topological groups. We give a characterization for an almost topological group to be a topological group and show that： （1） Each almost topological group that is of countable π-character is submetrizable; （2） Each left λ-narrow almost topological group is λ-narrow; （3） Each separable almost topological group is ω-narrow. Some questions are posed.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36