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


Creative Commons License

Kula M. , Özkan S.

Mathematica Bohemica, vol.145, no.2, pp.177-190, 2020 (Journal Indexed in ESCI)

  • Publication Type: Article / Article
  • Volume: 145 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.21136/mb.2019.0144-17
  • Title of Journal : Mathematica Bohemica
  • Page Numbers: pp.177-190

Abstract

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.