Discrete Morse Complexes

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We investigate properties of the set of discrete Morse functions on a simplicial complex as defined by Forman. It is not difficult to see that the pairings of discrete Morse functions of a finite simplicial complex again form a simplicial complex, the discrete Morse complex. It turns out that several known results from combinatorial topology and enumerative combinatorics, which previously seemed to be unrelated, can be re-interpreted in the setting of these discrete Morse complexes.
12 pages, 3 figures

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Combinatorics, 05E25 (05A15, 05C50, 05C70)

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http://salesiana.dossiersoluciones.com/handle/123456789/60451

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011234
 http://arxiv.org/abs/math/0011234

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arXiv