2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60451We 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 figuresCombinatorics05E25 (05A15, 05C50, 05C70)text