Probabilistic approach spaces.
| Autor: | Jäger, Gunter |
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| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| ISSN: | 0528-2195 |
| Abstrakt: | Abstract: We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function. We give a suitable axiom scheme and show that the resulting category is isomorphic to the category of left-continuous probabilistic topological convergence spaces and hence is a topological category. We further show that the category of Lowen's approach spaces is isomorphic to a simultaneously bireflective and bicoreflective subcategory and that the category of probabilistic quasi-metric spaces is isomorphic to a bicoreflective subcategory of the category of probabilistic approach spaces. |
| Databáze: | Katalog Knihovny AV ČR |
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