Kan Replacement of Simplicial Manifolds

We establish a functor Kan from local Kan simplicial manifolds to weak Kan simplicial manifolds. It gives a solution to the problem of extending local Lie groupoids to Lie 2-groupoids.

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Bibliographic Details
Published in:	Letters in mathematical physics Vol. 90; no. 1-3; pp. 383 - 405
Main Author:	Zhu, Chenchang
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-12-2009
Subjects:	Complex Systems Geometry Group Theory and Generalizations Mathematical and Computational Physics Physics Physics and Astronomy Theoretical fibrant replacement extension Quillen’s small object argument simplicial manifold Kan fibration local Lie groupoid 51H25
Online Access:	Get full text
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Description
Summary:	We establish a functor Kan from local Kan simplicial manifolds to weak Kan simplicial manifolds. It gives a solution to the problem of extending local Lie groupoids to Lie 2-groupoids.
ISSN:	0377-9017 1573-0530
DOI:	10.1007/s11005-009-0353-0