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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 "…
math.AT2009★ 8 cited
The dunce hat in a minimal non-extendably collapsible 3-ball
Bruno Benedetti, Frank H. Lutz
We obtain a geometric realization of a minimal 8-vertex triangulation of the dunce hat in Euclidean 3-space. We show there is a simplicial 3-ball with 8 vertices that is collapsibl…