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Abstract: : We investigate the e ect of the change of base 2-functors V Cat ! W Cat induced by two-sided enrichments V ! W on Cauchy-complete objects. We restrict our study to the case of locally posetal bases. Reversibility is de ned for locally posetal bicategories, two-sided enrichments and, Cauchy-completion. We show that a reversible left adjoint two-sided enrichment F : V ! W between locally posetal bicategories induces some adjunction F a F : V SkCRcCat ! W SkCRcCat between sub-categories of... (Update)
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BibTeX entry: (Update)
@misc{ vincent-change,
author = "Anna Labella Vincent",
title = "Change of base, Cauchy-completness and reversibility",
url = "citeseer.ist.psu.edu/410623.html" }
Citations (may not include all citations):156 Basic Concepts of Enriched Category Theory (context) - Kelly
39 Closed Categories (context) - Eilenberg, Kelly
29 Introduction to bicategories (context) - enabou
29 and closed categories (context) - Lawvere, spaces et al.
5 Lecture Notes in Math (context) - Kelly, adjunction
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 egories avec multiplication (context) - enabou
2 Colloque sur les categories (context) - Walters, Cauchy-complete
2 On local adjointness of distributive categories (context) - Betti, Power
2 Applying enriched categories to quasi-uniform spaces - Schmitt
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