# Amplitudes on abelian categories

@inproceedings{Giunti2021AmplitudesOA, title={Amplitudes on abelian categories}, author={Barbara Giunti and John S. Nolan and N. Otter and Lukas Waas}, year={2021} }

The use of persistent homology in applications is justified by the validity of certain stability results. At the core of such results is a notion of distance between the invariants that one associates to data sets. While such distances are well-understood in the one-parameter case, the situation for multiparameter persistence modules is more challenging, since there is no generalisation of the barcode. Here we introduce a general framework to study stability questions in multiparameter… Expand

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