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Homotopies and Automorphisms of Crossed Modules of Groupoids

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Abstract

We give a detailed description of the structure of the actor 2-crossed module related to the automorphisms of a crossed module of groupoids. This generalises work of Brown and Gilbert for the case of crossed modules of groups, and part of this is needed for work on 2-dimensional holonomy to be developed elsewhere.

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Authors and Affiliations

  1. School of Informatics, Mathematics Division, University of Wales, Bangor, Gwynedd, LL57 1UT, U.K.

    Ronald Brown

  2. Faculty of Science and Art, Department of Mathematics, University of İnönü, Malatya, Turkey

    İlhan İçen

Authors
  1. Ronald Brown
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  2. İlhan İçen
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Brown, R., İçen, İ. Homotopies and Automorphisms of Crossed Modules of Groupoids. Applied Categorical Structures 11, 185–206 (2003). https://doi.org/10.1023/A:1023544303612

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