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math.RT2024★ 1 cited
Local characterization of block-decomposability for multiparameter persistence modules
Vadim Lebovici, Jan-Paul Lerch, Steve Oudot
Local conditions for the direct summands of a persistence module to belong to a certain class of indecomposables have been proposed in the 2-parameter setting, notably for the clas…
math.RT2020
Local characterizations for decomposability of 2-parameter persistence modules
Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot
We investigate the existence of sufficient local conditions under which poset representations decompose as direct sums of indecomposables from a given class. In our work, the index…