1 Ocak 2024 Dergi makalesi Açık Erişim

Varli, Hanife; Pamuk, Mehmetcik; Yilmaz, Yagmur

Citation Style Language JSON

{
  "DOI": "10.1142/S0219498826500374", 
  "abstract": "<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>", 
  "author": [
    {
      "family": "Varli", 
      "given": " Hanife"
    }, 
    {
      "family": "Pamuk", 
      "given": " Mehmetcik"
    }, 
    {
      "family": "Yilmaz", 
      "given": " Yagmur"
    }
  ], 
  "container_title": "JOURNAL OF ALGEBRA AND ITS APPLICATIONS", 
  "id": "275975", 
  "issued": {
    "date-parts": [
      [
        2024, 
        1, 
        1
      ]
    ]
  }, 
  "page": "15", 
  "title": "Homological properties of persistent homology", 
  "type": "article-journal"
}