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).
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第6期615-622,共8页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
滤子
MESO紧空间
TYCHONOFF乘积
次meso紧空间
filter
mesocompact
submesocompact
the sequence of compact θ-refinement
the sequence of compact W-refinement
compact finite
winning strategy
