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A strict totally coordinatized version of Kapranov and Voevodsky's 2-category 2Vect

Published online by Cambridge University Press:  01 May 2007

JOSEP ELGUETA
JOSEP ELGUETA*
Affiliation:
Dept. Matemàtica Aplicada II, Universitat Politècnica de Catalunya, 08071 Barcelona, Spain. e-mail: Josep.Elgueta@upc.edu
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Abstract

In this paper we describe the 2-category 2Mat of 2-matrices, i.e., a strict totally coordinatized version of the 2-category 2Vect of Kapranov and Voevodsky finite dimensional 2-vector spaces, analogous to the category Mat of matrices which appears as the coordinatized version of the category Vect of finite dimensional vector spaces. In particular, explicit formulas for the composition of 1-morphisms and the two compositions between 2-morphisms are given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 3 , May 2007 , pp. 407 - 428
Copyright
Copyright © Cambridge Philosophical Society 2007

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References

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