NOTES ON 2-GROUPOIDS, 2-GROUPS AND CROSSED MODULES
By B. Noohi. 2005
74 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ba5b4ce5711ed3a3c518c358b8faf91806388d2a
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- n-Groupoids and Stacky Groupoids (2008, methodology): “Since composition of covers is still a cover, we obtain the result by introducing a sequence of subsimplicial sets where each T i is obtained from T i − 1 by removing a simplex.”