开、紧、连续映射与σ点有限基
Open,Compact,Continuous Mappings Aad σ-Point Finite Bares
摘要
文[1]证得拓扑空间 X 为可展空间的充要条件是 X 为度量空间的开、p 映射象、[3]又证明 X 具有点可数基当且仅当 X 为度量空间的开、连续、S映射象。本文的主要结果是:X 具有σ点有限基的充要条件是 X 为度量空间的开、紧、连续映射象。
The principal result of the paper is that a topological space X has a σ—point finite base if and only if it is the open,compact,continuous image of a metric space.
