Weak continuity properties of topologized groups

被引：0
|
作者：
J. Cao
R. Drozdowski
Z. Piotrowski
机构：
[1] Auckland University of Technology,School of Computing and Mathematical Sciences
[2] Pedagogical University of Slupsk,Institute of Mathematics
[3] Youngstown State University,Department of Mathematics
来源：
Czechoslovak Mathematical Journal | 2010年 / 60卷
关键词：
developability number; feebly continuous; nearly continuous; Novak number; paratopological group; semitopological group; topological group; 54H11; 22A05; 54C08; 54E52;
D O I：
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学科分类号：
摘要：
We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if (G, ·, τ) is a regular right (left) semitopological group with dev(G) < Nov(G) such that all left (right) translations are feebly continuous, then (G, ·, τ) is a topological group. This extends several results in literature.
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页码：133 / 148
页数：15
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