On α*-I-Open Set and α*-I-Continuous Map

J. K. Maitra; Rajesh Kumar Tiwari

doi:https://doi.org/10.14445/22315373/IJMTT-V56P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 2 | Year 2018 | Article Id. IJMTT-V56P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P513

On α-I-Open Set and α-I-Continuous Map

J. K. Maitra, Rajesh Kumar Tiwari

Abstract

The open sets in topological space are 𝛼 −𝐼 −open sets and also they are g-open sets. By considering the idea of Ideal and g-open sets, the new class of open sets (𝛼 ∗ − 𝐼 −open sets) define by generalization of g-open sets. In this paper, we define the 𝛼 ∗ − 𝐼 −open setsand establish continuous map in ideal topological spaces. Also, westudy some basic properties of 𝛼 ∗ − 𝐼 −open sets.

Keywords

Ideal topological spaces, g-open set, g-closed.

References

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Citation :

J. K. Maitra, Rajesh Kumar Tiwari, "On α*-I-Open Set and α*-I-Continuous Map," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 101-103, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P513