Persistence modules: Algebra and algorithms

@article{Skraba2013PersistenceMA,
  title={Persistence modules: Algebra and algorithms},
  author={Primoz Skraba and Mikael Vejdemo-Johansson},
  journal={CoRR},
  year={2013},
  volume={abs/1302.2015}
}
Persistent homology was shown by Zomorodian and Carlsson [35] to be homology of graded chain complexes with coefficients in the graded ring k[t]. As such, the behavior of persistence modules — graded modules over k[t] — is an important part in the analysis and computation of persistent homology. In this paper we present a number of facts about persistence modules; ranging from the well-known but under-utilized to the reconstruction of techniques to work in a purely algebraic approach to… CONTINUE READING
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