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math.AT2026
Hook-decomposable modules and their resolutions
Isabella Mastroianni, Marco Guerra, Ulderico Fugacci +1
We compare several classes of biparameter persistence modules: -products of monoparameter modules, hook-decomposable modules, modules admitting a Smith-type structure theorem, a…
math.AT2025
Topological Correlation
Isabella Mastroianni, Ulderico Fugacci
We introduce two novel concepts, topological difference and topological correlation, that offer a new perspective on the discriminative power of multiparameter persistence. The for…
math.AT2025
Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules
Isabella Mastroianni, Marco Guerra, Ulderico Fugacci +1
Motivated by the need to relate the biparameter persistence module induced by a pair of scalar functions with the monoparameter persistence modules induced by each function separat…