Title of article
Convergence and quantale-enriched categories
Author/Authors
Hofmann ، Dirk - University of Aveiro , D. Reis ، Carla - University of Aveiro
Pages
62
From page
77
To page
138
Abstract
Generalising Nachbin’s theory of “topology and order”, in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology. We compare these V-categorical compact Haus- dorff spaces with ultrafilter-quantale-enriched categories, and show that the presence of a compact Hausdorff topology guarantees Cauchy completeness and (suitably defined) codirected completeness of the underlying quantale enriched category.
Keywords
Ordered compact Hausdorff space , metric space , approach space , sober space , Cauchy completness , quantale , enriched category
Journal title
Categories and General Algebraic Structures with Applications
Serial Year
2018
Journal title
Categories and General Algebraic Structures with Applications
Record number
2456432
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