One point compactification for generalized quotient spaces

One point compactification for generalized quotient spaces

The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient c...

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Main Authors: V. Karunakaran, C. Ganesan
Format: Article
Language:English
Published: Universitat Politècnica de València 2010-04-01
Series:Applied General Topology
Subjects:
Generalized quotient space
Compact
Locally compact and Hausdorff
One point compactification.
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1725
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spelling doaj-0ad6a24279ac4ac39859ea6b6877eb752020-11-24T21:57:49ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472010-04-01111212710.4995/agt.2010.17251413One point compactification for generalized quotient spacesV. Karunakaran0C. Ganesan1Madurai Kamaraj UniversityMadurai Kamaraj UniversityThe concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient conditions for the metrizability are also obtained. In this paper we shall assume that a generalized quotient space is non-compact and realize its one point compactification as a quotient space.http://polipapers.upv.es/index.php/AGT/article/view/1725Generalized quotient spaceCompactLocally compact and HausdorffOne point compactification.
collection DOAJ
language English
format Article
sources DOAJ
author V. Karunakaran
C. Ganesan
spellingShingle V. Karunakaran
C. Ganesan
One point compactification for generalized quotient spaces
Applied General Topology
Generalized quotient space
Compact
Locally compact and Hausdorff
One point compactification.
author_facet V. Karunakaran
C. Ganesan
author_sort V. Karunakaran
title One point compactification for generalized quotient spaces
title_short One point compactification for generalized quotient spaces
title_full One point compactification for generalized quotient spaces
title_fullStr One point compactification for generalized quotient spaces
title_full_unstemmed One point compactification for generalized quotient spaces
title_sort one point compactification for generalized quotient spaces
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2010-04-01
description The concept of Generalized function spaces which were introduced and studied by Zemanian are further generalized as Boehmian spaces or as generalized quotient spaces in the recent literature. Their topological structure, notions of convergence in these space sare also investigated. Some sufficient conditions for the metrizability are also obtained. In this paper we shall assume that a generalized quotient space is non-compact and realize its one point compactification as a quotient space.
topic Generalized quotient space
Compact
Locally compact and Hausdorff
One point compactification.
url http://polipapers.upv.es/index.php/AGT/article/view/1725
work_keys_str_mv AT vkarunakaran onepointcompactificationforgeneralizedquotientspaces
AT cganesan onepointcompactificationforgeneralizedquotientspaces
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