Title of article
A note on quasi irresolute topological groups
Author/Authors
Oner, T. Department of Mathematics - Faculty of Science Mugla StkKocman University, Turkey , Ozek, A. Department of Mathematics - Graduate School of Natural and Applied Sciences -Mugla Stk Kocman University, Turkey
Pages
6
From page
41
To page
46
Abstract
In this study, we investigate the further properties of quasi irresolute topological
groups dened in [20]. We show that if a group homomorphism f between quasi irresolute topological groups is irresolute at eG, then f is irresolute on G. Later we prove that in a semi-connected quasi irresolute topological group (G; ; ), if V is any symmetric semi-open neighborhood of eG, then G is generated by V . Moreover it is proven that a subgroup H of a quasi irresolute topological group (G; ; ) is semi-discrete if and only if it has a semi-isolated point.
Keywords
Semi-open set , semi-closed set , irresolute mapping , semi-homeomorphism , quasi irresolute topological group
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2441836
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