1 Ocak 2024 Dergi makalesi Açık Erişim

Varli, Hanife; Pamuk, Mehmetcik; Yilmaz, Yagmur

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/275975</identifier>
  <creators>
    <creator>
      <creatorName>Varli, Hanife</creatorName>
      <givenName>Hanife</givenName>
      <familyName>Varli</familyName>
      <affiliation>Cankiri Karatekin Univ, Dept Math, TR-18100 Cankiri, Turkiye</affiliation>
    </creator>
    <creator>
      <creatorName>Pamuk, Mehmetcik</creatorName>
      <givenName>Mehmetcik</givenName>
      <familyName>Pamuk</familyName>
      <affiliation>Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkiye</affiliation>
    </creator>
    <creator>
      <creatorName>Yilmaz, Yagmur</creatorName>
      <givenName>Yagmur</givenName>
      <familyName>Yilmaz</familyName>
      <affiliation>Univ Toledo, Dept Math &amp; Stat, Toledo, OH USA</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Homological Properties Of Persistent Homology</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2024</publicationYear>
  <dates>
    <date dateType="Issued">2024-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/275975</alternateIdentifier>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1142/S0219498826500374</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">&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;</description>
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