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June 2015 On the notion of pseudocategory internal to a category with a 2-cell structure
Nelson Martins-Ferreira
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Tbilisi Math. J. 8(1): 107-141 (June 2015). DOI: 10.1515/tmj-2015-0007

Abstract

The notion of pseudocategory is extended from the context of a 2-category to the more general one of a sesquicategory, which is considered as a category equipped with a 2-cell structure. Some particular examples of 2-cells arising from internal transformations in internal categories, conjugations in groups, derivations in crossed-modules or homotopies in abelian chain complexes are studied in this context, namely their behaviour as abstract 2-cells in a 2-cell structure. Issues such as naturality of a 2-cell structure are investigated. This article is intended as a preliminary starting work towards the study of the geometric aspects of the 2-cell structures from an algebraic point of view.

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Nelson Martins-Ferreira. "On the notion of pseudocategory internal to a category with a 2-cell structure." Tbilisi Math. J. 8 (1) 107 - 141, June 2015. https://doi.org/10.1515/tmj-2015-0007

Information

Received: 8 October 2014; Accepted: 13 March 2015; Published: June 2015
First available in Project Euclid: 12 June 2018

zbMATH: 1328.18006
MathSciNet: MR3331785
Digital Object Identifier: 10.1515/tmj-2015-0007

Subjects:
Primary: 18D05, 18D35
Secondary: 18E05

Rights: Copyright © 2015 Tbilisi Centre for Mathematical Sciences

JOURNAL ARTICLE
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Vol.8 • No. 1 • June 2015
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