A strict totally coordinatized version of Kapranov and Voevodsky's 2-category 2Vect-Reference-Cited by-同舟云学术

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

Published:2007-05 Issue:3 Volume:142 Page:407-428
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

ELGUETA JOSEP

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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2. List of Main Facts;2-Dimensional Categories;2021-01-31

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