Semi-quotient mappings and spaces

Moiz ud Din Khan; Rafaqat Noreen; Muhammad Siddique Bosan

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 1014-1022
  • ISSN: 2391-5455

Abstract

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In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.

How to cite

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Moiz ud Din Khan, Rafaqat Noreen, and Muhammad Siddique Bosan. "Semi-quotient mappings and spaces." Open Mathematics 14.1 (2016): 1014-1022. <http://eudml.org/doc/287064>.

@article{MoizudDinKhan2016,
abstract = {In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.},
author = {Moiz ud Din Khan, Rafaqat Noreen, Muhammad Siddique Bosan},
journal = {Open Mathematics},
keywords = {Semi-continuity; Semi-homeomorphism; s-topological group; Irresolute topological group; Semi-quotient space; Semi-quotient group; semi-continuity; semi-homeomorphism; -topological group; irresolute topological group; semi-quotient space; semi-quotient group},
language = {eng},
number = {1},
pages = {1014-1022},
title = {Semi-quotient mappings and spaces},
url = {http://eudml.org/doc/287064},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Moiz ud Din Khan
AU - Rafaqat Noreen
AU - Muhammad Siddique Bosan
TI - Semi-quotient mappings and spaces
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1014
EP - 1022
AB - In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.
LA - eng
KW - Semi-continuity; Semi-homeomorphism; s-topological group; Irresolute topological group; Semi-quotient space; Semi-quotient group; semi-continuity; semi-homeomorphism; -topological group; irresolute topological group; semi-quotient space; semi-quotient group
UR - http://eudml.org/doc/287064
ER -

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