Homology, Homotopy and Applications
Volume 1 (1999)
A homotopy $2$-groupoid from a fibration
Pages: 79 – 93
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.
$2$-groupoid, cat$1$-groupoid, crossed module, fibration
2010 Mathematics Subject Classification
18D05, 20Lxx, 55Q05, 55R05