Separation axioms via ${ }^{\star} \delta$-set in topological vector spaces
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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.is
Keywords:
{ }^{\star} \delta \text {-topological vector spaces }, { }^{\star} \delta \text {-homeomorphism }, { }^{\star} \delta \text {-continuous }, { }^{\star} \delta \text {-Hausdorff }, { }^{\star} \delta \text {-compact. }Mathematics Subject Classification:
Mathematics- Pages: 33-37
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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