On semisimplicial sets satisfying the Kan condition
Algebraic Topology
2012-10-23 v1 Geometric Topology
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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Cite
@article{arxiv.1210.5650,
title = {On semisimplicial sets satisfying the Kan condition},
author = {James E. McClure},
journal= {arXiv preprint arXiv:1210.5650},
year = {2012}
}
Comments
10 pages