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arxiv: 1605.07798 · v2 · pith:F5Y65EU2new · submitted 2016-05-25 · 🧮 math.CO · math.AT

Additive posets, CW-complexes, and graphs

classification 🧮 math.CO math.AT
keywords additivecw-complexesgraphsposetsapplicationscarriescoefficientscw-complex
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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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