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arXiv · 1210.5650

On semisimplicial sets satisfying the Kan condition

James E. McClure
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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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James E. McClure. 2012-10-20. On semisimplicial sets satisfying the Kan condition. https://arxiv.org/abs/1210.5650

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