On semisimplicial sets satisfying the Kan condition
On semisimplicial sets satisfying the Kan condition
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.Definition 1.1.A semisimplicial set X …