Homology, Homotopy and Applications

Volume 1 (1999)

Number 1

A homotopy $2$-groupoid from a fibration

Pages: 79 – 93

DOI: http://dx.doi.org/10.4310/HHA.1999.v1.n1.a2

Authors

K. H. Kamps (Fachbereich Mathematik, Fern Universität, Hagen, Germany)

T. Porter (School of Mathematics, University of Wales, Bangor, Gwynedd, Wales, United Kingdom)

Abstract

In this paper we give an elementary derivation of a $2$-groupoid from a fibration. This extends a previous result for pointed fibrations due to Loday. Discussion is included as to the translation between $2$-groupoids and cat$^1$-groupoids.

Keywords

$2$-groupoid, cat$1$-groupoid, crossed module, fibration

2010 Mathematics Subject Classification

18D05, 20Lxx, 55Q05, 55R05

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