Kan replacement of simplicial manifolds

Details Kan replacement of simplicial manifolds Kan replacement of simplicial manifolds

2008-12-22

arxiv.org/abs/0812.4150v3

Letters in Mathematical Physics: Volume 90, Issue 1 (2009), Page 383

Mathematics

Differential Geometry

19 pages, 11 figures, Lemma 2.2 improved, Prop.-Def. 2.3 modified. to appear in Letters in Mathematical Physics

Scientific paper

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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