Open AccessSeparation Axioms in Topological Ordered Spaces Via b-open Sets
Author(s) -
Rasha Naser Majeed,
S. A. El-Sheikh
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.8.21
Subject(s) - separation axiom , axiom , t1 space , topological space , linear subspace , mathematics , counterexample , property (philosophy) , topological tensor product , partially ordered set , pure mathematics , discrete mathematics , topology (electrical circuits) , combinatorics , topological vector space , functional analysis , isolated point , geometry , epistemology , philosophy , biochemistry , chemistry , gene
This paper aims to define and study new separation axioms based on the b-open sets in topological ordered spaces, namely strong - -ordered spaces ( ). These new separation axioms are lying between strong -ordered spaces and - - spaces ( ). The implications of these new separation axioms among themselves and other existing types are studied, giving several examples and counterexamples. Also, several properties of these spaces are investigated; for example, we show that the property of strong - -ordered spaces ( ) is an inherited property under open subspaces.