Kan replacement of simplicial manifolds
classification
🧮 math.DG
math.AT
keywords
manifoldssimplicialgroupoidslocalestablishextendingfunctorgives
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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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