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2007 Notes on 2-Groupoids, 2-Groups and Crossed Modules
Behrang Noohi
Homology Homotopy Appl. 9(1): 75-106 (2007).


This paper contains some basic results on 2-groupoids, with special emphasis on computing derived mapping 2-groupoids between 2-groupoids and proving their invariance under strictification. Some of the results proven here are presumably folklore (but do not appear in the literature to the author’s knowledge) and some of the results seem to be new. The main technical tool used throughout the paper is the Quillen model structure on the category of 2-groupoids introduced by Moerdijk and Svensson.


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Behrang Noohi. "Notes on 2-Groupoids, 2-Groups and Crossed Modules." Homology Homotopy Appl. 9 (1) 75 - 106, 2007.


Published: 2007
First available in Project Euclid: 5 April 2007

zbMATH: 1221.18002
MathSciNet: MR2280287

Primary: 18D05 , 18G50 , 55U40

Keywords: 2-group , 2-groupoid , 2-type , crossed module , homology , homotopy , lax 2-functors , weak 2-functors

Rights: Copyright © 2007 International Press of Boston

Vol.9 • No. 1 • 2007
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