Structure of semi-continuous $q$-tame persistence modules
Maximilian Schmahl · Homology Homotopy and Applications · 2022
Using a result by Chazal, Crawley-Boevey and de Silva concerning radicals of persistence modules, we show that every lower semi-continuous q-tame persistence module can be decomposed as a direct sum of interval modules and that every upper semi-continuous q-tame persistence module can be decomposed as a product of interval modules.