Some Separation Axioms on ωδ — open set

Volume 21 , Issue 1 , June 2019 , Pages 117-126

Authors

Hard i N. Aziz 1 ; Halgwrd Mohammed Darwesh 2 ; Adil K. Jabbar 2

1 Department of Mathematics, College of Education, Sulaimani University, Kurdistan Region, Iraq

2 Department of Mathematics, College of Science, Sulaimani University, Kurdistan Region, Iraq

DOI logo 10.17656/jzs.10750

Keywords

Abstract

In this paper we introduce some types of separation axioms and study their basic relations with other types of separation axioms such as ω-T_i and δ-T_i, for i=0,1,2.We show that our separation axioms are coarser than ω-T_i and finer than δ-T_i. We determine several crucial properties including that every locally countable space is ω_δ-T_2. Furthermore, we show that the notions T_2 and  ω_δ-T_2 are coincide in anti – locally countable space.

Statistics
  • Article view447
  • Downloads2
  • Published at20 June 2019

  • RIS
  • BibTeX
  • EndNote
  • Mendeley
  • APA (7th edition)
  • MLA (9th edition)
  • Chicago
  • Harvard
  • IEEE
  • Vancouver