Coherence for bicategories and indexed categories
type: Item
instance of: scholarly article
title: Coherence for bicategories and indexed categories
zbMATH Open document ID: 0567.18003
DOI: 10.1016/0022-4049(85)90087-8
author: Robert Paré
author: Saunders Mac Lane
published in: Journal of Pure and Applied Algebra
publication date: 1985-01-01T00:00:00Z
review text: In this well-written article the authors provide a consistent approach to the subject described by the title, giving complete (partially modified or simplified) definitions, presenting the coherence results on a reasonable level of generality, carefully comparing their work with \textit{J. Bénabou}'s early results [cf. Lect. Notes Math. 47, 1-77 (1967; Zbl 0165.330) and Cah. Topologie Géom. Différ. 10, 1-126 (1968; Zbl 0162.326)], and finally adapting \textit{M. L. Laplaza}'s elegant approach [J. Algebra 84, 305-323 (1983; Zbl 0525.18005)] to the present context.
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 18D10
zbMATH DE Number: 3904809
zbMATH Keywords: bicategory
zbMATH Keywords: 2-category
zbMATH Keywords: monoidal category
zbMATH Keywords: S-indexed category
zbMATH Keywords: S-indexed functor
zbMATH Keywords: S-indexed natural transformation
zbMATH Keywords: coherence
reviewed by: Walter Tholen
MaRDI profile type: Publication
full work available at URL: 0022-4049(85)90087-8
OpenAlex ID: W2094580575
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cites work: On theories with a combinatorial definition of 'equivalence'
cites work: Indexed categories and their applications
description: scientific article; zbMATH DE number 3904809