Interpretations of Yetter's notion of G-coloring: simplicial fibre bundles and non-abelian cohomology

Interpretations of Yetter's notion of G-coloring: simplicial fibre bundles and non-abelian cohomology (1995)

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by Tim Porter

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Datum	Value	Source
TITLE	Interpretations of Yetter's notion of G-coloring: simplicial fibre bundles and non-abelian cohomology	user correction - Legacy Corrections
AUTHOR NAME	Tim Porter	SVM HeaderParse 0.1
AUTHOR AFFIL	; (e 3); 1 e; 2 e	SVM HeaderParse 0.2
AUTHOR ADDR	; " 3; " 1; " 2; " 3	SVM HeaderParse 0.1
ABSTRACT	this article, but beware of misprints. A more thorough treatment is given in May, [18]. We will use (standard) notation from [18] wherever possible. The way found initially around the restriction that K had to be reduced in the above loop construction was to take a maximal tree in K and to contract it to a point. In 1984, a groupoid version of the loop group construction was given by Dwyer and Kan, [12]. (Unfortunately the published paper has many misprints and the cleaned-up version that we will use was prepared by my student Phil Ehlers as part of his master's dissertation, [13]. Alternatives have been proposed by Joyal and Tierney, and by Moerdijk and Svensson. They end up with simplicial objects in the category of groupoids, whilst the Dwyer - Kan version gives a simplicially enriched groupoid, i.e. a groupoid all of whose Hom-objects are simplicial sets. A simplicially enriched groupoid is also a simplicial groupoid (simplicial object in the category of groupoids), but is one whose object of objects is a constant simplicial set.) Let SS denote the category of simplicial sets and SGpds that of simplicially enriched groupoids or as we will often call them, simply, simplicial groupoids. The loop groupoid functor is a functor	user correction - Legacy Corrections
YEAR	1995	user correction - Legacy Corrections
CITATIONS	8 found	ParsCit 1.0