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Morse theory of Bestvina-Brady type for posets and matchings

We introduce a Morse theory for posets of Bestvina-Brady type combining matchings and height functions. This theory generalizes Forman's discrete Morse theory for regular CW-complexes and extends previous results on Morse theory for $h$-regular posets to all finite posets. We also develop a relative version of Morse theory which allows us to compare the topology of a poset with that of a given subposet.

preprint2022arXivOpen access
Elias Gabriel Minian
math.ATmath.CO
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Elias Gabriel Minian

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