English

Extremal Betti numbers of Rips complexes

Combinatorics 2009-10-02 v1

Abstract

Upper bounds on the topological Betti numbers of Vietoris-Rips complexes are established, and examples of such complexes with high Betti numbers are given.

Keywords

Cite

@article{arxiv.0910.0040,
  title  = {Extremal Betti numbers of Rips complexes},
  author = {Michael Goff},
  journal= {arXiv preprint arXiv:0910.0040},
  year   = {2009}
}
R2 v1 2026-06-21T13:52:43.513Z