• DOI:10.1016/j.aml.2010.11.004
Corpus ID: 14337220

Finiteness of rank invariants of multidimensional persistent homology groups

@article{Cagliari2011FinitenessOR,
  title={Finiteness of rank invariants of multidimensional persistent homology groups},
  author={F. Cagliari and C. Landi},
  journal={ArXiv},
  year={2011},
  volume={abs/1001.0358}
}

F. Cagliari, C. Landi

Published 2011

Mathematics, Computer Science

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Rank invariants are a parametrized version of Betti numbers of a space multi-filtered by a continuous vector-valued function. In this note we give a sufficient condition for their finiteness. This condition is sharp for spaces embeddable in R^n.