Weak Equivalence of Internal Categories

Renato Betti
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Renato Betti: Politecnico di Milano

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 307-316 from Springer

Abstract: Abstract Weak equivalence is defined as equivalence in the bicategory of modules between internal categories. It is known that two categories are weakly equivalent if and only if their Cauchy completions are equivalent. We prove that this condition can be generalized to a suitable notion of intermediate category, stable under composition with weak equivalences. Applications to categorical Morita theory are given.

Keywords: internal category; module; Morita equivalence.; 18D35; 18A25; 18D05 (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2529-3_17

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DOI: 10.1007/978-94-017-2529-3_17

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