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弱拟第一可数空间与映射
  • ISSN号：0490-6756
  • 期刊名称：四川大学学报(自然科学版)
  • 时间：0
  • 页码：693-696
  • 分类：O189.11[理学—数学;理学—基础数学]
  • 作者机构：[1]泰州师范高等专科学校数学系,泰州225300, [2]四川大学数学学院,成都610064
  • 相关基金：国家自然科学基金（10971185）;中国博士后科学基金（20090461093）;江苏省博士后科研资助计划项目（0902064C）;泰州师专重点课题（2009-ASL-05）
  • 相关项目：广义度量方法及其在D空间和传感器最优布局问题中的应用
作者： 沈荣鑫|
关键词： 拟第一可数空间, 弱拟第一可数空间, 映射定理, quasi-first-countable spaces,weakly quasi-first-countable spaces, mapping theorems
中文摘要：

本文证明了边界可数商（伪开）映射和1序列覆盖映射商（伪开）映射保持弱拟第一可数空间（拟第一可数空间），完备映射不能保持弱拟第一可数空间．同时部分回答了Tanaka和刘川提出的一个问题．

英文摘要：

It is proved in this paper that boundary-countable, quotient（pseudo-open） mappings and 1-sequence-covering quotient （pseudo-open） mappings preserve weakly quasi-first-countable （quasi-first-countable） spaces, and perfect mappings do not preserve weakly quasi-first-countable spaces. A partial answer is given to a question raised by Tanaka and Liu.

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广义度量方法及其在D空间和传感器最优布局问题中的应用
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期刊信息
  • 《四川大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:四川大学
  • 主编：刘应明
  • 地址：成都九眼桥望江路29号
  • 邮编：610064
  • 邮箱：
  • 电话：028-85410393 85412393
  • 国际标准刊号：ISSN：0490-6756
  • 国内统一刊号：ISSN：51-1595/N
  • 邮发代号:62-127
  • 获奖情况:
  • 国家“双效”期刊,四川省十佳科技期刊,教育部全国高校优秀学报二等奖（1995，1999）,四川省科技优秀期刊一等奖（1996，2000）
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国生物科学数据库,英国动物学记录,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,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:10542