On semisimplicial sets satisfying the Kan condition

Published 20 Oct 2012 in math.AT and math.GT | (1210.5650v1)

Abstract: A semisimplicial set has face maps but not degeneracies. A basic fact, due to Rourke and Sanderson, is that a semisimplicial set satisfying the Kan condition can be given a simplicial structure. The present paper gives a combinatorial proof of this fact and a generalization to multisemisimplicial sets.

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Authors (1)

James E. McClure

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