Corpus ID: 236087318

Amplitudes on abelian categories

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