1 Ocak 2024 Dergi makalesi Açık Erişim

Varli, Hanife; Pamuk, Mehmetcik; Yilmaz, Yagmur

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{
  "@context": "https://schema.org/", 
  "@id": 275975, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Cankiri Karatekin Univ, Dept Math, TR-18100 Cankiri, Turkiye", 
      "name": "Varli, Hanife"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkiye", 
      "name": "Pamuk, Mehmetcik"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Univ Toledo, Dept Math & Stat, Toledo, OH USA", 
      "name": "Yilmaz, Yagmur"
    }
  ], 
  "datePublished": "2024-01-01", 
  "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>", 
  "headline": "Homological properties of persistent homology", 
  "identifier": 275975, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Homological properties of persistent homology", 
  "url": "https://aperta.ulakbim.gov.tr/record/275975"
}