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Pre-Hausdorff and Hausdorff Proximity Spaces

Kula, Muammer; Ozkan, Samed; Marasli, Tugba


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{
  "@context": "https://schema.org/", 
  "@id": 52643, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Erciyes Univ, Dept Math, Kayseri, Turkey", 
      "name": "Kula, Muammer"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Erciyes Univ, Dept Math, Kayseri, Turkey", 
      "name": "Ozkan, Samed"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Erciyes Univ, Dept Math, Kayseri, Turkey", 
      "name": "Marasli, Tugba"
    }
  ], 
  "datePublished": "2017-01-01", 
  "description": "In this paper, an explicit characterization of the separation properties for T-0, T-1, PreT(2) (pre-Hausdorff) and T-2 (Hausdorff) is given in the topological category of proximity spaces. Moreover, specific relationships that arise among the various T-i, i = 0; 1; 2 and PreT(2) structures are examined in this category. Finally, we investigate the relationships among generalized separation properties for Ti, i = 0,1, 2 and PreT(2) (in our sense), separation properties at a point p and separation properties for T-i, i = 0, 1,2 in the usual sense in this category.", 
  "headline": "Pre-Hausdorff and Hausdorff Proximity Spaces", 
  "identifier": 52643, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Pre-Hausdorff and Hausdorff Proximity Spaces", 
  "url": "https://aperta.ulakbim.gov.tr/record/52643"
}
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