Probabilistic topologies induced by L-fuzzy uniformities |
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Authors: | Ulrich Höhle |
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Institution: | (1) Fachbereich Mathematik der Gesamthochschule Wuppertal, Gaußstr. 20, D-5600 Wuppertal 1, Germany |
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Abstract: | Basic properties of probabilistic topologies associated with L-fuzzy uniformities are studied, e.g. regularity, uniform continuity and 1-completeness. The main result is the existence and uniqueness of the probabilistic completion of L-fuzzy uniform spaces. Moreover with respect to the applicability of this theory we also give concrete representations of the probabilistic completion of compact as well as of Polish spaces. |
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