Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules
Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules
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 separately, we introduce a construction that defines a kind of product between two monoparameter persistence modules. While originally conceived to serve this comparative purpose, our construction unexpectedly reveals a deeper structural property: it also characterizes a class of biparameter modules known as hook-decomposable modules.
Isabella Mastroianni、Marco Guerra、Ulderico Fugacci、Emanuela De Negri
数学
Isabella Mastroianni,Marco Guerra,Ulderico Fugacci,Emanuela De Negri.Retrieving biparameter persistence modules from monoparameter ones: a characterization of hook-decomposable persistence modules[EB/OL].(2025-06-17)[2025-07-16].https://arxiv.org/abs/2506.14678.点此复制
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