ii-Separation Axioms in Topological Spaces

Hamant kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V65I11P502

International Journal of Mathematics Trends and Technology

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Volume 65 | Issue 11 | Year 2019 | Article Id. IJMTT-V65I11P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I11P502

ii-Separation Axioms in Topological Spaces

Hamant kumar

Abstract

The aim of this paper is to study and investigate the ii-open sets in topological spaces and to obtain a relationship among b-open, pre-open, semi-open, -open and -open sets. Some new types of separation axioms such as ii-T0, ii-T1, ii-T2, ii-R0 and ii-R1 axioms in topological spaces by using ii-open sets also are introduced. The relationships among ii-T0, ii-T1, ii-T2 and some other separation axioms are investigated.

Keywords

ii-open and ii-closed sets; ii-continuous and ii-irresolute functions; ii-Tk (k = 0, 1, 2) and ii-Rk (k = 0, 1) spaces.

References

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Citation :

Hamant kumar, "ii-Separation Axioms in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 11, pp. 17-28, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I11P502