More on Minimal δ-Open (Maximal δ-Closed) and δ-Semi-minimal Open (δ-Semi maximal Closed) Sets in Topological Spaces

Dr. Bishnupada Debnath

doi:https://doi.org/10.14445/22315373/IJMTT-V51P510

International Journal of Mathematics Trends and Technology

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Volume 51 | Number 1 | Year 2017 | Article Id. IJMTT-V51P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P510

More on Minimal δ-Open (Maximal δ-Closed) and δ-Semi-minimal Open (δ-Semi maximal Closed) Sets in Topological Spaces

Dr. Bishnupada Debnath

Citation :

Dr. Bishnupada Debnath, "More on Minimal δ-Open (Maximal δ-Closed) and δ-Semi-minimal Open (δ-Semi maximal Closed) Sets in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 1, pp. 82-85, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P510

Abstract

In 2008, Caldas M, Jafari S. and Noiri T. [7] introduced the concept of maximal δ-open sets, minimal δ-closed sets, δ-semi-maximal open and δ- semi-minimal closed sets in general topological settings. In the present paper a new class of sets called minimal δ-open sets and maximal δ-closed sets in a topological space are introduced which are the δ-open sets and δ-closed sets respectively. The complement of minimal δ-open set is a maximal δ- closed set. Some properties of δ-semi maximal closed sets, δ-semi minimal open sets are studied.

Keywords

Minimal δ-open set, Maximal δ-closed set, δ-semi-minimal open set, δ-semi-maximal closed set.

References

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