• DOI:10.1016/J.TOPOL.2013.05.013
Corpus ID: 13971804

Filtrations induced by continuous functions

@article{Fabio2013FiltrationsIB,
  title={Filtrations induced by continuous functions},
  author={B. D. Fabio and P. Frosini},
  journal={ArXiv},
  year={2013},
  volume={abs/1304.1268}
}

B. D. Fabio, P. Frosini

Published 2013

Mathematics, Computer Science

ArXiv

Abstract In Persistent Homology and Topology, filtrations are usually given by introducing an ordered collection of sets or a continuous function from a topological space to R n . A natural question arises, whether these approaches are equivalent or not. In this paper we study this problem and prove that, while the answer to the previous question is negative in the general case, the approach by continuous functions is not restrictive with respect to the other, provided that some natural… CONTINUE READING

View PDF on arXiv

Save to Library

Create Alert

Cite

Launch Research Feed