Local compactness in approach spaces I
This paper introduces some definitions of a concept of local compactness in approach spaces. The basic relationships between these concepts is studied, and measures of local compactness are defined.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129800060X |
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| _version_ | 1832548445650419712 |
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| author | R. Lowen C. Verbeeck |
| author_facet | R. Lowen C. Verbeeck |
| author_sort | R. Lowen |
| collection | DOAJ |
| description | This paper introduces some definitions of a concept of local compactness in approach
spaces. The basic relationships between these concepts is studied, and measures of local
compactness are defined. |
| format | Article |
| id | doaj-art-03c06866b0644fe8aa68cb3e4522359c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-03c06866b0644fe8aa68cb3e4522359c2025-02-03T06:13:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121342943810.1155/S016117129800060XLocal compactness in approach spaces IR. 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, Wilrijk B-2610, BelgiumThis paper introduces some definitions of a concept of local compactness in approach spaces. The basic relationships between these concepts is studied, and measures of local compactness are defined.http://dx.doi.org/10.1155/S016117129800060XApproach spacemeasure of compactness(basis-) local compactnessmeasure of (basis-) local compactness. |
| spellingShingle | R. Lowen C. Verbeeck Local compactness in approach spaces I International Journal of Mathematics and Mathematical Sciences Approach space measure of compactness (basis-) local compactness measure of (basis-) local compactness. |
| title | Local compactness in approach spaces I |
| title_full | Local compactness in approach spaces I |
| title_fullStr | Local compactness in approach spaces I |
| title_full_unstemmed | Local compactness in approach spaces I |
| title_short | Local compactness in approach spaces I |
| title_sort | local compactness in approach spaces i |
| topic | Approach space measure of compactness (basis-) local compactness measure of (basis-) local compactness. |
| url | http://dx.doi.org/10.1155/S016117129800060X |
| work_keys_str_mv | AT rlowen localcompactnessinapproachspacesi AT cverbeeck localcompactnessinapproachspacesi |