$\alpha$-Topological Vector Spaces

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Hacettepe Journal of Mathematics and Statistics
Volume:47 Issue:5
$\alpha$-Topological Vector Spaces

$\alpha$-Topological Vector Spaces

Authors : Talal ALHAWARY

Pages : 1102-1107

View : 25 | Download : 8

Publication Date : 2018-10-16

Article Type : Research Paper

Abstract :The notion of $\alpha$ - topological vector space is introduced and several properties are studied. A complete comparison between this class and the class of topological vector spaces is presented. In particular, $\alpha$ -topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for $\alpha$ - regularity of $\alpha$ -topological vector spaces is given.
Keywords : alpha open set, alpha irresolute map, alpha topological vector space

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