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Homotopy localization of groupoids
-
Carles Casacuberta
,
Marek Golasiński
Published/Copyright:
February 27, 2007
Abstract
In order to study functorial changes caused by homotopy localizations on the fundamental group of unbased simplicial sets, it is convenient to use groupoids instead of groups, and therefore localizations of groupoids become useful. In this article we develop homotopy localization techniques in the model category of groupoids, with emphasis on the relationship with homotopy localizations of simplicial sets and also with discrete localizations of groups.
Received: 2004-11-23
Revised: 2005-06-19
Published Online: 2007-02-27
Published in Print: 2006-11-20
© Walter de Gruyter
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Articles in the same Issue
- A summation formula for divisor functions associated to lattices
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- Cohomology of harmonic forms on Riemannian manifolds with boundary
- On the structure and characters of weight modules
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- A group-theoretic characterization of the direct product of a ball and a Euclidean space
- Degree-regular triangulations of the double-torus
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