On B-Open Sets

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3401

Keywords:

operator topological space, bi-operator topological space, B-open sets, T∗-open sets, contra-B-continuous, Urysohn space, weakly Hausdorff space

Abstract

The aim of this paper is to introduce and study B-open sets and related properties. Also, we define a bi-operator topological space (X,τ,T1,T2), involving the two operators T1 and T2, which are used to define B-open sets. A B-open set is, roughly speaking, a generalization of a b-open set, which is, in turn, a generalization of a pre-open set and a semi-open set. We introduce a number of concepts based on B-open sets.

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Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

Section

Algebra

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How to Cite

On B-Open Sets. (2019). European Journal of Pure and Applied Mathematics, 12(2), 358-369. https://doi.org/10.29020/nybg.ejpam.v12i2.3401