Probabilistic metric spaces as enriched categories

Authors:
Dirk Hofmann;C. D. Reis
Affiliations:
Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal;Center for Research and Development in Mathematics and Applications, University of Aveiro, Portugal and Department of Science and Technology, College of Management and Technology of Oliveira do Ho ...
Venue:
Fuzzy Sets and Systems
Year:
2013

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Abstract

In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.