2025/06/17 by Mastroianni, Isabella, Guerra, Marco, Fugacci, Ulderico +1 · 1 citation
#Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2506.14678
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.