Abstract
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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Supported by the German Research Foundation [Deutsche Forschungsgemeinschaft (DFG)] through the Institutional Strategy of the University of Göttingen.
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Zhu, C. Kan Replacement of Simplicial Manifolds. Lett Math Phys 90, 383–405 (2009). https://doi.org/10.1007/s11005-009-0353-0
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DOI: https://doi.org/10.1007/s11005-009-0353-0