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弱几乎拓扑群的相关性质
  • ISSN号：1674-5647
  • 期刊名称：《数学研究通讯：英文版》
  • 时间：0
  • 分类：O189[理学—数学;理学—基础数学]
  • 作者机构：[1]闽南师范大学数学与统计学院,福建漳州363000
  • 相关基金：国家自然科学基金（11201414,11471153,11571158）; 福建省高校杰出青年科研人才培育计划（JA13190）
作者： 刘鑫[1], 林福财[1]
关键词： 次可度量, 几乎拓扑群, π-特征, submetrizable, weakly almost topological groups, π-character
中文摘要：

本文给出了强几乎拓扑群和弱几乎拓扑群的定义,证明了具有可数π-特征的弱几乎拓扑群在其结构中的闭正规子群是可度量的紧子集时是次可度量的,并给出了弱几乎拓扑群中子群应满足什么样的条件其闭包仍然是子群.

英文摘要：

In this paper, we give the definitions of strong almost topological groups and weakly almost topological groups,prove that,for a weakly almost topological groups with a countable π-character, if the close normal subgroup of is first countable and compact then is submetrizable, and give a condition such that the closure of a subgroup of an almost topological group must be a subgroup.

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期刊信息
  • 《数学研究通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:吉林大学
  • 主编：尹景学
  • 地址：长春市前进大街2699号吉林大学数学研究所内
  • 邮编：130012
  • 邮箱：
  • 电话：0431-5166424
  • 国际标准刊号：ISSN：1674-5647
  • 国内统一刊号：ISSN：22-1369/O1
  • 邮发代号:12-134
  • 获奖情况:
  • 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:5