Local compactness in approach spaces II

This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products.

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Main Authors: R. Lowen, C. Verbeeck
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203007646
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author R. Lowen
C. Verbeeck
author_facet R. Lowen
C. Verbeeck
author_sort R. Lowen
collection DOAJ
description This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2003-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-21cd76613c764d28ac5a959fd98bfad42025-02-03T07:24:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003210911710.1155/S0161171203007646Local compactness in approach spaces IIR. Lowen0C. Verbeeck1Department of Mathematics, University of Antwerp, RUCA, Groenenborgerlaan 171, Antwerp B-2020, BelgiumDepartment of Mathematics and Computer Science, University of Antwerp, UIA, Universiteitsplein 1, Antwerpen (Wilrijk) B-2610, BelgiumThis paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products.http://dx.doi.org/10.1155/S0161171203007646
spellingShingle R. Lowen
C. Verbeeck
Local compactness in approach spaces II
International Journal of Mathematics and Mathematical Sciences
title Local compactness in approach spaces II
title_full Local compactness in approach spaces II
title_fullStr Local compactness in approach spaces II
title_full_unstemmed Local compactness in approach spaces II
title_short Local compactness in approach spaces II
title_sort local compactness in approach spaces ii
url http://dx.doi.org/10.1155/S0161171203007646
work_keys_str_mv AT rlowen localcompactnessinapproachspacesii
AT cverbeeck localcompactnessinapproachspacesii