A Unif: A common supercategory of pMET and Unif
In order to have a topological category that contains both pMET and Unif in a nice way (and therefore combines quantitative and uniform concepts), approach uniformities are introduced. Approach uniformities uniformize the so-called approach spaces, introduced in Lowen [8]. Different characterization...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000015 |
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| _version_ | 1832554269500243968 |
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| author | R. Lowen B. Windels |
| author_facet | R. Lowen B. Windels |
| author_sort | R. Lowen |
| collection | DOAJ |
| description | In order to have a topological category that contains both pMET and Unif in a
nice way (and therefore combines quantitative and uniform concepts), approach uniformities are
introduced. Approach uniformities uniformize the so-called approach spaces, introduced in Lowen
[8]. Different characterizations of approach uniformities are formulated. Some natural examples
are presented, such as function spaces, hyperspaces, spaces of measures, and an example concerning
theoretical computer science. |
| format | Article |
| id | doaj-art-21bf6038ed55489c927e77d0bd46f3fc |
| 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-21bf6038ed55489c927e77d0bd46f3fc2025-02-03T05:51:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121111810.1155/S0161171298000015A Unif: A common supercategory of pMET and UnifR. Lowen0B. Windels1Department of Mathematics and Computer Science, University of Antwerp, RUCA Groenenborgerlaan 171, Antwerp 2020, BelgiumDepartment of Mathematics and Computer Science, University of Antwerp, RUCA Groenenborgerlaan 171, Antwerp 2020, BelgiumIn order to have a topological category that contains both pMET and Unif in a nice way (and therefore combines quantitative and uniform concepts), approach uniformities are introduced. Approach uniformities uniformize the so-called approach spaces, introduced in Lowen [8]. Different characterizations of approach uniformities are formulated. Some natural examples are presented, such as function spaces, hyperspaces, spaces of measures, and an example concerning theoretical computer science.http://dx.doi.org/10.1155/S0161171298000015approach spaceapproach uniformityuniform space. |
| spellingShingle | R. Lowen B. Windels A Unif: A common supercategory of pMET and Unif International Journal of Mathematics and Mathematical Sciences approach space approach uniformity uniform space. |
| title | A Unif: A common supercategory of pMET and Unif |
| title_full | A Unif: A common supercategory of pMET and Unif |
| title_fullStr | A Unif: A common supercategory of pMET and Unif |
| title_full_unstemmed | A Unif: A common supercategory of pMET and Unif |
| title_short | A Unif: A common supercategory of pMET and Unif |
| title_sort | unif a common supercategory of pmet and unif |
| topic | approach space approach uniformity uniform space. |
| url | http://dx.doi.org/10.1155/S0161171298000015 |
| work_keys_str_mv | AT rlowen aunifacommonsupercategoryofpmetandunif AT bwindels aunifacommonsupercategoryofpmetandunif AT rlowen unifacommonsupercategoryofpmetandunif AT bwindels unifacommonsupercategoryofpmetandunif |