On sgωα-Separation Axioms, sgωα-regular and sgωα- normal spaces

Rajeshwari K.

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P528

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P528

On sgωα-Separation Axioms, sgωα-regular and sgωα- normal spaces

Rajeshwari K.

Abstract

The present paper introduces a new class of separation axioms called a sgωα- separation axioms using sgωα-open sets. Also two new classes of spaces called sgωα- regular and sgωα-normal spaces are introduced and studied their fundamental properties, relationships and characterizations by utilizing sgωα-open and sgωα-closed sets..

Keywords

semi open set, sgωα-open set, sgꞷα-closed set, sgωα-closed/open /continuous mappings, semi irresolute function, sgωα-Tk (0,1,2) spaces, sgωα-regular spaces, sgωα-normal spaces.

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Citation :

Rajeshwari K., "On sgωα-Separation Axioms, sgωα-regular and sgωα- normal spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 284-291, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P528