具有σ-局部可数cs* - 网的空间

journal6 ›› 2004, Vol. 25 ›› Issue (1): 89-91.

具有σ-局部可数cs^* - 网的空间

( 湘潭师范学院数学系, 湖南湘潭411201)

出版日期:2004-03-15 发布日期:2012-11-06
作者简介:唐古生( 1966- ) , 男, 湖南省新邵县人, 硕士, 湘潭师范学院数学系讲师, 主要从事拓扑学研究.
基金资助:
湖南省教育厅自然科学科研基金资助项目( 03C526)

Spaces With σ- Loally Countable cs^* net

( Department of Mathematics, Xiangtan Normal University, Xiangtan 411201,Hunan China)

Online:2004-03-15 Published:2012-11-06

摘要/Abstract

摘要：利用ponomarrv's 方法及msss 映射的定义, 研究了广义度量空间中的点可数覆盖问题. 证明了具有σ-局部可数cs^* - 网的空间可以刻划成度量空间的序列覆盖映射和强序列覆盖映射下的象, 从而使关于对σ- 局部可数族的讨论趋于完整.

关键词： 序列覆盖映射, 强序列覆盖映射, msss- 映射, cs- 网, cs^* - 网

Abstract: By the ponomarev's way and the definit ion of msss- mapping, this paper studies the point- countable covering problem on the generalized metric space, proving that the spaces with σ-locally countable cs^* - network and csnetwork can be characterized by the image of metrizable spaces under sequence- covering mappings and strong sequence-covering mappings.Thus, the study of the spaces with σ-locally countable collect ionwise is made more complete.

Key words: sequence-covering mapping, strong sequence- covering mapping, msss- mapping, cs- net , cs^*- net

唐古生. 具有σ-局部可数cs^* - 网的空间[J]. journal6, 2004, 25(1): 89-91.

TANG Gu-Sheng. Spaces With σ- Loally Countable cs^* net[J]. journal6, 2004, 25(1): 89-91.