A note on the category of quasi-proximity spaces

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Kula M., Özkan S.

Publications de l'Institut Mathématique, vol.107, no.121, pp.75-83, 2020 (ESCI)

  • Publication Type: Article / Article
  • Volume: 107 Issue: 121
  • Publication Date: 2020
  • Doi Number: 10.2298/pim2021075k
  • Journal Name: Publications de l'Institut Mathématique
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH
  • Page Numbers: pp.75-83
  • Erciyes University Affiliated: Yes

Abstract

We characterize the separation properties T0 and T1 at a point p in the category of quasi-proximity spaces. Moreover, the (strongly) closed and (strongly) open subobjects of an object, and each of the various notions of connected and compact objects are characterized in this topological category.