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math.DG2010★ 5 cited
Discrete Morse Theory Is At Least As Perfect As Morse Theory
Bruno Benedetti
In bounding the homology of a manifold, Forman's Discrete Morse theory recovers the full precision of classical Morse theory: Given a PL triangulation of a manifold that admits a M…
math.AT2010
Discrete Morse Theory for Manifolds with Boundary
Bruno Benedetti
We introduce a version of discrete Morse theory specific for manifolds with boundary. The idea is to consider Morse functions for which all boundary cells are critical. We obtain "…