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.
Citation
James E. McClure. "On semisimplicial sets satisfying the Kan condition." Homology Homotopy Appl. 15 (1) 73 - 82, 2013.
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