Applying Enriched Categories to Quasi-Uniform Spaces.

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Applying Enriched Categories to Quasi-Uniform Spaces (2000) (Make Corrections) (2 citations)
Vincent Schmitt

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Abstract: : The represention of complete metric spaces of [Law73] by enrichments is extented to quasi-uniform spaces. Moreover quasi-uniformly continuous maps are described as enriched functors. The quasi-uniform space completion is also viewed as a Cauchy-completion. Super monoidal functors are introduced to obtain these results. A 2-category of enrichments over dierent bases is dened. In this general context the Cauchy-completion is still a universal construction. keywords: Enriched categories,... (Update)

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BibTeX entry: (Update)

V. Schmitt, Applying enriched categories to quasi-uniform spaces, submitted paper. http://citeseer.ist.psu.edu/schmitt00applying.html More

@misc{ schmitt-applying,
  author = "V. Schmitt",
  title = "Applying enriched categories to quasi-uniform spaces",
  text = "V. Schmitt, Applying enriched categories to quasi-uniform spaces, submitted
    paper.",
  url = "citeseer.ist.psu.edu/schmitt00applying.html" }

Citations (may not include all citations):
156 Basic Concepts of Enriched Category Theory (context) - Kelly
39 Closed categories (context) - Eilenberg, Kelly
29 and closed categories (context) - Lawvere, spaces et al.
27 Springer Verlag (context) - Lane, the et al.
23 Elements of generalized ultrametric domain theory - Rutten
11 Variation through enrichment (context) - Betti, Carboni et al.
3 The symmetry of the Cauchy-completion of a category (context) - Betti, Walters
3 Communication at Category theory 99 - Coimbra (context) - Kelly, Labella et al.
2 Applied Categorical Structures (context) - Ambler, Verity et al.
2 Colloque sur les categories (context) - Walters, Cauchy-complete
1 Lecture Notes in Pure and Applied Maths - Marcel Dekker ed (context) - Fletcher, Lindgren
1 erale - Chap (context) - Bourbaki, en

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