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Research Article Open access CC BY 4.0

Separation Axioms in Generalized Base Spaces

Kamal El-Saady, Fatima Al-Nabbat

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 10 Jun 2016

10.9734/BJMCS/2016/27014

Abstract

The concept of generalized base space is given as a generalization of closure spaces, kernel spaces, topological spaces. The purpose of this paper is to study and investigate some separations axioms in the so-called generalized base spaces. Some characterizations of GBTi-spaces for i = 0, 1, 2, 3, 4 are obtained and some relations among these spaces are established. We study some results concerning separation axioms which are true in general topology, but it is not true in the generalized base spaces.

Generalized topologies weak structures separation axioms.

References (11)

  1. 1 Generalized topology, generized continuity [DOI]
  2. 2 On supratopological spaces
  3. 3 Remarks on quasi-topologies [DOI]
  4. 4 On extremally disconnected generalized topologies [DOI]
  5. 5 Weak structures [DOI]
  6. 6 Further remarks on the formula for γ-interior [DOI]
  7. 7 On Generalized Weak Structures [DOI]
  8. 8 On weak structures due to Császár [DOI]
  9. 9 On weak structures of Császár [DOI]
  10. 10 On soft weak structures [DOI]
  11. 11 Generalized Topological Representation for Complete Join-Semilattices [DOI]

Cited by 3

THEORY OF GENERALIZED SEPARATION AXIOMS IN GENERALIZED TOPOLOGICAL SPACES

Mohammad Irshad KHODABOCUS, Noor-ul-hacq SOOKIA · Journal of Universal Mathematics · 2022

Showing 1 of 3 known citations — external sources report more than can currently be individually listed.

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