1 Ocak 2024 Dergi makalesi Açık Erişim

Varli, Hanife; Pamuk, Mehmetcik; Yilmaz, Yagmur

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    <subfield code="a">&lt;p&gt;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.&lt;/p&gt;</subfield>
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