On Almost β-Topological Vector Spaces - Open Access Library Journal

OALibJ > Vol.6 No.5, May 2019

On Almost β-Topological Vector Spaces ()

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DOI: 10.4236/oalib.1105408 602 Downloads 1,482 Views Citations

Author(s)

Shallu Sharma, Sahil Billawria, Madhu Ram, Tsering Landol

Affiliation(s)

Department of Mathematics, University of Jammu, Jammu and Kashmir, India.

ABSTRACT

In this paper, we have introduced a new generalized form of topological vector spaces, namely, almost β-topological vector spaces by using the concept of β-open sets. We have also presented some examples and counterexamples of almost β-topological vector spaces and determined its relationship with topological vector spaces. Some properties of β-topological vector spaces are also characterized.

KEYWORDS

β-Open Sets, δ-Open Sets, Regular-Open Sets, Almost β-Topological Vector Spaces

Share and Cite:

Sharma, S. , Billawria, S. , Ram, M. and Landol, T. (2019) On Almost β-Topological Vector Spaces. Open Access Library Journal, 6, 1-9. doi: 10.4236/oalib.1105408.

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