2 papers
math.AT2026
Morse theory for loop-free categories
MichaÅ LipiÅski, David Mosquera-Lois, Mateusz Przybylski
We extend discrete Morse-Bott theory to the setting of loop-free (or acyclic) categories. First of all, we state a homological version of Quillen's Theorem A in this context and in…
math.DS2025
Linear Relations of Finite Length Modules are Shift Equivalent to Maps
Bartosz Furmanek, Filip Oskar Åanecki, Mateusz Przybylski +1
Linear relations, defined as submodules of the direct sum of two modules, can be viewed as objects that carry dynamical information and reflect the inherent uncertainty of sampled…