Compactifications whose remainders are zero dimensional and retract |
| |
Authors: | Yusuf Ünlü Fikret Kuyucu |
| |
Affiliation: | 1. Department of Mathematics, ?ukurova University, 01330, Adana, Turkey
|
| |
Abstract: | LetX be a locally compact non compact space. Necessary and sufficient conditions forfX/X to be a retract offX are given wherefX is the Freudenthal compactification ofX. LetX be a locally compact and zero dimensional space,m be any cardinal number andJ be a set with cardinalitym. It is proved thatX has a dyadic family of powerm if and only if there exist and compactificationY ofX such thatY/X=2 J andY/X is a retract ofY. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|