Dergi makalesi Açık Erişim
Varli, Hanife; Pamuk, Mehmetcik; Yilmaz, Yagmur
In this paper, we investigate to what extent persistent homology benefits from the properties of a homology theory. We show that persistent homology benefits from a Mayer-Vietoris sequence and a long exact sequence for a pair if one works with graded persistence modules. We also give concrete examples showing that the same is not the case for persistent homology groups.
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