Meso紧空间及次meso紧空间的Tychonoff乘积  

Tychonoff product on mesocompact spaces and subnesocompact spaces

作　　者：黄蕴魁[1] 

机构地区：[1]自贡师范高等专科学校,自贡643000

出　　处：《西南师范大学学报（自然科学版）》1999年第6期615-622,共8页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：该文主要证明了如下结果：引理在ω<ω。上存在一个滤子满足：对于每个次meso紧空间X和X的每个开覆盖，存在的开加细序列使得对于任何紧子集．有.定理设X是正则meso紧（次meso紧）空间，Y是meso紧（次meso紧）空间，如果PlayerI在G（DC，X）中有必胜策略。The following results are proved. Lemma the is a filter on <ω satisfying: For every submesocmpact space X and every open cover of X, there is a sequence of open refinernents of such that for every K∈(X), Theorem Let X be a regular submesocmpact space and Y a submesocompact space. If Player I has a winning straegy in G(DC, X), then X×Y is mesocompact(submesocompact).

关 键 词：滤子 MESO紧空间 TYCHONOFF乘积 次meso紧空间 

分 类 号：O189.11[理学—数学]