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Pre-Hausdorff and Hausdorff Proximity Spaces

Kula, Muammer; Ozkan, Samed; Marasli, Tugba


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{
  "DOI": "10.2298/FIL1712837K", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Kula", 
      "given": " Muammer"
    }, 
    {
      "family": "Ozkan", 
      "given": " Samed"
    }, 
    {
      "family": "Marasli", 
      "given": " Tugba"
    }
  ], 
  "container_title": "FILOMAT", 
  "id": "52643", 
  "issue": "12", 
  "issued": {
    "date-parts": [
      [
        2017, 
        1, 
        1
      ]
    ]
  }, 
  "page": "3837-3846", 
  "title": "Pre-Hausdorff and Hausdorff Proximity Spaces", 
  "type": "article-journal", 
  "volume": "31"
}
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