2014/03/21 by Antonio Díaz Ramos, Ramos, Antonio Díaz
Mathematics · #05E45 #06A07 #20J99 #55U10 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.CO #math.GR #msc:05E45 #msc:06A07 #msc:20J99 #msc:55U10
paper · pdf · doi:10.48550/arxiv.1403.5500
arxiv created 2015/12/03 · arxiv updated 2015/12/04
We propose some conditions on a poset that produce a small chain complex for its homology. This allows to compare simplicial complexes and Quillen's complexes under the same prism. It turns out they differ in the existence or not of free faces in an acyclic complex.