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math.GT2024
Analyzing Multifiltering Functions Using Multiparameter Discrete Morse Theory
Guillaume Brouillette
A multiparameter filtration, or a multifiltration, may in many cases be seen as the collection of sublevel sets of a vector function, which we call a multifiltering function. The m…
math.GT2022
Multiparameter Discrete Morse Theory
Guillaume Brouillette, Madjid Allili, Tomasz Kaczynski
The main objective of this paper is to extend Morse-Forman theory to vector-valued functions. This is mostly motivated by the need to develop new tools and methods to compute multi…