Probabilistic Metric Spaces as enriched categories
Dirk Hofmann, Carla David Reis
TL;DR
This paper explores the properties of probabilistic metric spaces within the framework of quantale enriched categories, focusing on their Cauchy completeness and exponentiability.
Contribution
It provides a detailed analysis of Cauchy completeness and exponentiability specifically for probabilistic metric spaces in the context of quantale enrichment.
Findings
Characterization of Cauchy completeness in probabilistic metric spaces
Conditions for exponentiability in quantale enriched categories
Insights into the structure of probabilistic metric spaces
Abstract
In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.
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Taxonomy
TopicsFixed Point Theorems Analysis · Fuzzy and Soft Set Theory · Advanced Topology and Set Theory