Separation axioms via $^\star \delta$-set in topological vector spaces
Authors :
T.R. Dinakaran 1 * and B. Meera Devi 2
Author Address :
1 Department of Mathematics, Sourashtra College, Madurai-625004, Tamil Nadu, India.
2 Department of Mathematics, Sri S.Ramasamy Naidu Memorial College, Sattur-626203, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this paper we introduce a new sort of spaces as $^\star \delta$-Homogenous space, $^\star \delta$-Hausdorff space and $^\star \delta$-Compact space. It provides a new connection between $^\star \delta$-Vector spaces and $^\star \delta$-homogenous spaces. Also we investigated the relationship between the translation and scalar multiplication mappings and $^\star \delta$-homeomorphism on $^\star \delta$-Topological vector spaces. Finally we derive $^\star \delta$-Topological vector space is $^\star \delta$-Hausdorff
and $^\star \delta$-Compact spaces.
Keywords :
$^\star \delta$-topological vector spaces, $^\star \delta$-homeomorphism, $^\star \delta$-continuous, $^\star \delta$-Hausdorff, $^\star \delta$-compact.
DOI :
Article Info :
Received : October 14, 2020; Accepted : December 02, 2020.
