T2 AND T3 OBJECTS AT p IN THE CATEGORY OF PROXIMITY SPACES


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Kula M. , Özkan S.

Mathematica Bohemica, cilt.145, ss.177-190, 2020 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 145 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.21136/mb.2019.0144-17
  • Dergi Adı: Mathematica Bohemica
  • Sayfa Sayıları: ss.177-190

Özet

In previous papers, various notions of pre-Hausdorff, Hausdorff and regular

objects at a point p in a topological category were introduced and compared. The main objective

of this paper is to characterize each of these notions of pre-Hausdorff, Hausdorff and

regular objects locally in the category of proximity spaces. Furthermore, the relationships

that arise among the various PreT2, Ti, i = 0, 1, 2, 3, structures at a point p are investigated.

Finally, we examine the relationships between the generalized separation properties and the

separation properties at a point p in this category.