<p>In the paper (Altıntaş et&#xa0;al. <CitationRef CitationID="CR15">2022</CitationRef>) by Altıntaş et al. The soft partial metric space is introduced on soft elements. The soft partial metric spaces extend both soft metric spaces, soft quasi-metric spaces and classical partial metric spaces, providing a rich framework for exploring various topological properties. The paper is an introduction to the topology of soft partial metric spaces. Here, some key topological properties of soft partial metric, such as soft open set, soft closed set, soft interior, soft closure, soft derived and separation axioms, are examined.</p>

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Topology of soft partial metric spaces

  • İsmet Altıntaş,
  • Peyil Esengul kyzy

摘要

In the paper (Altıntaş et al. 2022) by Altıntaş et al. The soft partial metric space is introduced on soft elements. The soft partial metric spaces extend both soft metric spaces, soft quasi-metric spaces and classical partial metric spaces, providing a rich framework for exploring various topological properties. The paper is an introduction to the topology of soft partial metric spaces. Here, some key topological properties of soft partial metric, such as soft open set, soft closed set, soft interior, soft closure, soft derived and separation axioms, are examined.