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 |
| 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/S0161171298000015 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |