sn可度量化空间的映射定理(英文)  

A Mapping Theorem On sn-metrizable Spaces

作　　者：林寿[1] 

机构地区：[1]漳州师范学院数学系

出　　处：《数学进展》2006年第5期615-620,共6页Advances in Mathematics（China）

基　　金：Supported by the NSFC(No.10271026,No.10571151).

摘　　要：具有σ局部有限sn网的正则空间称为sn可度量化空间,本文讨论了k半层空间的可扩性质,证明了序列覆盖的闭映射保持sn可度量化空间,同时给出与sn可度量化空间的映射性质相关的几个例子。A space is called an sn-metrizable space if it is a regular space with a σ- locally finite sn-network. In this paper an expandable property of κ-semistritifiable spaces is discussed, it is shown that sn-metrizability is preserved by closed sequence-covering mappings, and some related examples of mapping properties on sn-metrizable spaces are given.

关 键 词：κ半层空间 sn可度量空间 α4空间 序列覆盖映射 闭映射 

分 类 号：O189.1[理学—数学]