Every finite system of T1 uniformities comes from a single distance structure
Using the general notion of distance function introduced in an earlier paper, a construction of the finest distance structure which induces a given quasi-uniformity is given. Moreover, when the usual defining condition xy : d(y; x) of the basic entourages is generalized to nd(y; x) n (for a fix...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2002-04-01
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| Series: | Applied General Topology |
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| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/2113 |