The Geometric Realization of a Semi-Simplicial Complex

Authors: John Milnor - Annals of Mathematics 1957 cited by 281

homology and homotopy groups. The terminology for semi-simplicial complexes will follow John Moore [7]. In particular the face and degeneracy maps of K will be denoted by d: Kn Kn-1 and si:K. -> Kn+1 respectively. 1. The definition