On B-Open Sets
DOI:
https://doi.org/10.29020/nybg.ejpam.v12i2.3401Keywords:
operator topological space, bi-operator topological space, $\mathcal{B}$-open sets, $T^*$-open sets, contra-$\mathcal{B}$-continuous, Urysohn space, weakly Hausdorff spaceAbstract
The aim of this paper is to introduce and study $\mathcal{B}$-open sets and related properties. Also, we define a bi-operator topological space $(X, \tau, T_1, T_2)$, involving the two operators $T_1$ and $T_2$, which are used to define $\mathcal{B}$-open sets. A $\mathcal{B}$-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 $\mathcal{B}$-open sets.
Downloads
Published
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.