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
  • ArXiv
  • 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. 
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