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.Comment: 11 page

Schmahl, Maximilian

English

arXiv

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.Comment: 11 pages, small updates as suggested by a refere

Structure of Semi-Continuous Q-Tame Persistence Modules

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