半商映射与具有紧可数k网的空间  

Semi-quotient Mappings and Spaces With Compact-countable k-networks

作　　者：林寿[1,2] 李进金[1] 

机构地区：[1]漳州师范学院数学系,漳州福建363000 [2]宁德师范高等专科学校数学所,宁德福建352100

出　　处：《数学进展》2009年第4期417-426,共10页Advances in Mathematics（China）

基　　金：supported by the NSFC(No.10571151) and(No.10671173).

摘　　要：本文研究半商映射,引进了wks映射和wkcs映射的概念,证明了空间具有点可数k网当且仅当它是度量空间的wks映象,空间具有紧可数k网当且仅当它是度量空间的wkcs映象,这回答了刘川和田中祥雄1996年提出的问题。in this paper the semi-quotient mappings are studied, and the concepts of wks- mappings and wkcs-mappings are introduced. It is shown that a space with a point-countable k-network if and only if it is a wks-image of a metric space, and a space with a compact-countable k-network if and only if it is a wkcs-image of a metric space, which answers a question posed by Chuan Liu and Y. Tanaka in 1996.

关 键 词：半商映射 半伪开映射 ws映射 wks映射 wkcs映射 K网 wcs^＊网 

分 类 号：O189.1[理学—数学]