σ-仿Lindelf空间的Tychonoff乘积  

Tychonoff Product on σ Paralindelf Spaces

作　　者：朱培勇[1] 

机构地区：[1]自贡师专数学系

出　　处：《Journal of Mathematical Research and Exposition》1998年第3期405-411,共7页数学研究与评论（英文版）

基　　金：四川省自然科学基金

摘　　要：本文主要获得了两个拓扑空间的Ｔｙｃｈｏｎｏｆ乘积是σ仿Ｌｉｎｄｅｌ¨ｏｆ空间的三个定理In this paper, we mainly obtained following three theorems on σ para Lindelf spaces: (1) If X is a σ paralindelf P space and Y is a σ expandable strong Σ space, then X×Y is σ para Lindelf space. (2) If X is a σ paralindelf P * space and Y has a σ locally finite base, then X×Y is σ para Lindelf. (3) Let X and Y be σ paralindelf spaces with orthobase. If X is regular C scattered, then X×Y is σ para Lindelf.

关 键 词：拓扑空间 LINDELOEF空间 TYCHONOFF乘积 

分 类 号：O189.11[理学—数学]