SEPARATION AXIOMS AND CONNECTEDNESS FOR βω−OPEN SETS

Authors

  • Mohammed Al-Hawmi Department of Mathematics, Faculty of Sciences, Taiz University, Taiz, Yemen
  • Amin Saif Department of Mathematics, Faculty of Sciences, Taiz University, Taiz, Yemen
  • Yahya Awbal Department of Mathematics, Faculty of Education, Arts and Sciences, University of Saba Region, Mareb, Yemen

DOI:

https://doi.org/10.53555/eijms.v6i1.48

Keywords:

Open set, Generalized closed set, Connectedness

Abstract

Our propose in this paper is to introduce the new classes for separation axioms in topo logical spaces by using βω−open sets and Gβω−open sets, called βω−separation axioms and  Gβω−separation axioms. Furthermore, we introduce the stronger form of connected spaces.

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Published

2016-06-27
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