^{1}Department of Mathematics, University of Jammu, JK-18006, India

^{2}Department of Mathematics, University of Jammu, JK-18006, India.

Abstract

We introduce and study a new class of spaces, namely $\beta-$topological vector spaces via $\beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $\beta-$topological vector spaces are provided.

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