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.

Bibliographic Details
Main Authors: R. Lowen, C. Verbeeck
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203007646
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spelling doaj-21cd76613c764d28ac5a959fd98bfad42020-11-25T01:28:26ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author R. Lowen
C. Verbeeck
spellingShingle R. Lowen
C. Verbeeck
Local compactness in approach spaces II
International Journal of Mathematics and Mathematical Sciences
author_facet R. Lowen
C. Verbeeck
author_sort R. Lowen
title Local compactness in approach spaces II
title_short 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_sort local compactness in approach spaces ii
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
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.
url http://dx.doi.org/10.1155/S0161171203007646
work_keys_str_mv AT rlowen localcompactnessinapproachspacesii
AT cverbeeck localcompactnessinapproachspacesii
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