On Characterization of δ-Topological Vector Space

Abstract

The main objective of this paper is to present the study of δ-topological vector space, δ-topological vector space are defined by using δ-open sets and δ-continuous mapping which was introduced by J.H.H. Bayati[3] in 2019. In this paper, along with basic inherent properties of the space, δ-closure and δ-interior operators are discussed in detail. We characterize some important properties like translation, dilation of the δ-topological vector space and an example of δ-topological vector space is also established.

Keywords

• regular open set, δ-open set, δ-closed set, δ-continuous mapping and δ-topological vector space.