On Characterization of δ-Topological Vector Space

Shallu Sharma, Tsering Landol, Sahil Billawria


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.


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

Full Text:


DOI: http://dx.doi.org/10.23755/rm.v40i1.569


  • There are currently no refbacks.

Copyright (c) 2021 Tsering Landol, Shallu Sharma, Sahil Billawria

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.