Probabilistic uniform convergence spaces redefined (Q343228)
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scientific article; zbMATH DE number 6656660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probabilistic uniform convergence spaces redefined |
scientific article; zbMATH DE number 6656660 |
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Probabilistic uniform convergence spaces redefined (English)
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25 November 2016
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Probabilistic uniform convergence spaces form a generalization of both uniform convergence spaces and probabilistic uniform spaces. In this paper the authors develop a theory of probabilistic uniform convergence spaces based on Tardiff's neighbourhood systems for probabilistic metric spaces. The generalization solves two problems. Firstly, that each probabilistic metric space carries a natural probabilistic uniform structure. Secondly, it can identify a subcategory of the category of probabilistic uniform convergence spaces that is isomorphic to the category of probabilistic metric spaces.
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probabilistic metric space
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probabilistic uniform convergence space
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probabilistic uniform space
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distance distribution function
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