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arxiv: 1403.5500 · v2 · pith:TCXVT4O2new · submitted 2014-03-21 · 🧮 math.AT · math.CO· math.GR

A local method for posets

classification 🧮 math.AT math.COmath.GR
keywords complexcomplexesacyclicallowschaincompareconditionsdiffer
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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.

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