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Probabilistic Metric Spaces as enriched categories

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arxiv 1201.1161 v1 pith:EP7U4UB5 submitted 2012-01-05 math.GN

Dirk Hofmann , Carla David Reis This is my paper · ORCID
classification math.GN
keywords categoriesenrichedmetricprobabilisticspacesattentioncauchycompleteness
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In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.

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  1. Hausdorff coalgebras

    math.CT 2019-08 conditional novelty 6.0 of 10

    On quantale-enriched categories the Hausdorff functor has no terminal coalgebra, but on enriched compact Hausdorff spaces it preserves codirected limits, making categories of Hausdorff polynomial coalgebras complete.

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