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math.AT2025
Strong discrete Morse theory
Ximena L. Fernández
The purpose of this work is to develop a version of Forman's discrete Morse theory for simplicial complexes, based on internal strong collapses. Classical discrete Morse theory can…
math.AT2019★ 1 cited
Morse theory for group presentations
Ximena Fernández
We introduce a novel combinatorial method to study -transformations of group presentations or, equivalently, 3-deformations of CW-complexes of dimension 2. Our procedure is…