SEMIGROUP ACTIONS: PROXIMITIES, COMPACTIFICATIONS AND NORMALITY

被引：0
|
作者：
Google, Leonid [1 ]
Megrelishvili, Michael [1 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
来源：
TOPOLOGY PROCEEDINGS, VOL 35 | 2010年 / 35卷
关键词：
Equivariant compactification; equivariant normality; proximity space; semigroup action; TOPOLOGICAL-GROUPS; POLISH GROUPS; SPACES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study equivariant compactifications of continuous actions of topological semigroups. We give a transparent description of such compactifications in terms of S-proximities, special action compatible proximities on X. This leads us to a dynamical generalization of classical Smirnov's theorem. As a strictly related concept we investigate equivariant normality of actions and give some relevant examples.
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页码：37 / 71
页数：35
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