On Characterization of δ-Topological Vector Space

Authors

  • Shallu Sharma Assistant Professor Department of Mathematics, University of Jammu, Jammu.
  • Tsering Landol Ph.D Scholar Department of Mathematics, University of Jammu, Jammu.
  • Sahil Billawria Ph.D Scholar Department of Mathematics, University of Jammu, Jammu.

DOI:

https://doi.org/10.23755/rm.v40i1.569

Keywords:

Regular open set, δ-open set, δ-closed set, δ-continuous mapping and 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.

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Published

2021-07-04

Issue

Vol. 40 (2021)

Section

Volume 40-2021

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