Geodesic
On semisimplicial sets satisfying the Kan condition
Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 73-82.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2013.v15.n1.a4
Classification : 55P43, 57P10, 57R67
Keywords: semisimplicial set, Kan condition 
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James E. McClure. On semisimplicial sets satisfying the Kan condition. Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 73-82. doi : 10.4310/HHA.2013.v15.n1.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a4/

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