Additive posets, CW-complexes, and graphs

2016/05/25 by Turaev, Vladimir
#05C38 #06A11 #57Q05 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.07798

Abstract

We introduce and study additive posets. We show that the top homology group (with coefficients in Z/2Z) of a finite dimensional CW-complex carries a structure of an additive poset invariant under subdivisions. Applications to CW-complexes and graphs are discussed.

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