SEMI Δ-OPEN SETS IN TOPOLOGICAL SPACES

T.M. Nour; AHMAD Mustafa JABER

doi:https://doi.org/10.14445/22315373/IJMTT-V66I8P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 8 | Year 2020 | Article Id. IJMTT-V66I8P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I8P515

SEMI Δ-OPEN SETS IN TOPOLOGICAL SPACES

T.M. Nour, AHMAD Mustafa JABER

Abstract

In this paper, we introduce the class of seΔmi Δ-open sets in Topology. It is obtained by generalizing Δ-open sets in the same way that semi-open sets were generalized open sets. We study some properties of semi Δ-open sets. We also define the semi Δ-interior and the semi Δ-closure of a set A in a space (X,ζ).

Keywords

Δ-open sets, Δ-closed sets, semi Δ-open sets, semi Δ-closed sets, semi Δ-interior and semi Δ-closure of a set in X.

References

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[3] N. Levine: Semi-open and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
[4] T.M. Nour: A note on some applications of semi-open sets, Internat. J. Math. Sci. 21(1) (1998), 205-207.
[5] M. Veera Kumar: On -open sets in topology, To appear.

Citation :

T.M. Nour, AHMAD Mustafa JABER, "SEMI Δ-OPEN SETS IN TOPOLOGICAL SPACES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 8, pp. 139-143, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I8P515