Door spaces on N-topology

In this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with  submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door spaces using separation axioms and discuss th...

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Main Authors: Loyala Foresith Spencer J, Davamani Christober M
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2023-06-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/957
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author Loyala Foresith Spencer J
Davamani Christober M
author_facet Loyala Foresith Spencer J
Davamani Christober M
author_sort Loyala Foresith Spencer J
collection DOAJ
description In this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with  submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door spaces using separation axioms and discuss the characteristics of such door spaces. We take a strong form of open set in -topological space and introduce a new door space called  - door space. In addition, we analyze -door space and discuss the relationship between a -locally closed set and -closed set.
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spelling doaj.art-80cc23d3de8c4e089941bb0958accd7e2023-07-06T05:58:59ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-06-0147010.23755/rm.v47i0.957756Door spaces on N-topologyLoyala Foresith Spencer J0Davamani Christober M1The American CollegeThe American CollegeIn this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with  submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door spaces using separation axioms and discuss the characteristics of such door spaces. We take a strong form of open set in -topological space and introduce a new door space called  - door space. In addition, we analyze -door space and discuss the relationship between a -locally closed set and -closed set.http://eiris.it/ojs/index.php/ratiomathematica/article/view/957n-topology, door space, sub maximal, 〖nτ〗_d β-open sets.
spellingShingle Loyala Foresith Spencer J
Davamani Christober M
Door spaces on N-topology
Ratio Mathematica
n-topology, door space, sub maximal, 〖nτ〗_d β-open sets.
title Door spaces on N-topology
title_full Door spaces on N-topology
title_fullStr Door spaces on N-topology
title_full_unstemmed Door spaces on N-topology
title_short Door spaces on N-topology
title_sort door spaces on n topology
topic n-topology, door space, sub maximal, 〖nτ〗_d β-open sets.
url http://eiris.it/ojs/index.php/ratiomathematica/article/view/957
work_keys_str_mv AT loyalaforesithspencerj doorspacesonntopology
AT davamanichristoberm doorspacesonntopology