Finiteness of rank invariants of multidi
โ
Francesca Cagliari; Claudia Landi
๐
Article
๐
2011
๐
Elsevier Science
๐
English
โ 199 KB
Rank invariants of multidimensional persistent homology groups are a parameterized 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 .