Structure of semi-continuous q-tame persistence modules
Representation Theory
2022-07-05 v2 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.2008.09493,
title = {Structure of semi-continuous q-tame persistence modules},
author = {Maximilian Schmahl},
journal= {arXiv preprint arXiv:2008.09493},
year = {2022}
}
Comments
11 pages, small updates as suggested by a referee