Dergi makalesi Açık Erişim
Varli, Hanife; Pamuk, Mehmetcik; Yilmaz, Yagmur
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"affiliation": "Cankiri Karatekin Univ, Dept Math, TR-18100 Cankiri, Turkiye",
"name": "Varli, Hanife"
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"affiliation": "Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkiye",
"name": "Pamuk, Mehmetcik"
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"affiliation": "Univ Toledo, Dept Math & Stat, Toledo, OH USA",
"name": "Yilmaz, Yagmur"
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"description": "<p>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.</p>",
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