摘要
任意个紧致空间的乘积（用积拓扑）仍然是紧致空间，这是个拓朴学上已知的定理．本文使用超限归纳法给出了这个重要的定理的一个较简单且较易于记忆的证明．
The product space(with the product topology) of any family of compact spaces iscompact. This is a well known theorem in topology. In this paper. applying the transfinite induction. we give a sinmpler proof of this important theorem which can be relative easily remembered.
出处
《广西民族大学学报（自然科学版）》
CAS
1994年第2期1-4,共4页
Journal of Guangxi Minzu University ：Natural Science Edition
关键词
积空间
积拓扑
紧致空间
良序集
超限归纳法.
product space. product topology. compact space.wellordered set. transfinite induction.
