Weak continuity properties of topologized groups

被引：17
|
作者：
Cao, J. [1 ]
Drozdowski, R. [2 ]
Piotrowski, Z. [3 ]
机构：
[1] Auckland Univ Technol, Sch Comp & Math Sci, Auckland 1142, New Zealand
[2] Pedag Univ Slupsk, Inst Math, PL-76200 Slupsk, Poland
[3] Youngstown State Univ, Dept Math, Youngstown, OH 44555 USA
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2010年 / 60卷 / 01期
关键词：
developability number; feebly continuous; nearly continuous; Novak number; paratopological group; semitopological group; topological group;
D O I：
10.1007/s10587-010-0004-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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, center dot, tau) is a regular right (left) semitopological group with dev(G) < Nov(G) such that all left (right) translations are feebly continuous, then (G, center dot, tau) is a topological group. This extends several results in literature.
引用
收藏
页码：133 / 148
页数：16
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