Weak continuity properties of topologized groups

被引：16

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

页码：133 / 148

页数：16

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