Finiteness of rank invariants of multidimensional persistent homology groups

Details Finiteness of rank invariants of multidimensional persistent homology groups Finiteness of rank invariants of multidimensional persistent homology groups

2010-01-03

arxiv.org/abs/1001.0358v1

Mathematics

Algebraic Topology

Scientific paper

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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