Additive posets, CW-complexes and graphs
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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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Touraev, Vladimir. "Additive posets, CW-complexes and graphs." European Journal of Combinatorics, vol. 69, pp. 107-125, 2017-9-22, https://doi.org/10.1016/j.ejc.2017.09.004.
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European Journal of Combinatorics