Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces

The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by Ng#-r...

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Main Authors: Martina Jency J., Babisha Julit R. L., Pious Missier S.
Format: Article
Language:English
Published: University of New Mexico 2025-01-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/nss8/index.php/111/article/view/5111/2142
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author Martina Jency J.
Babisha Julit R. L.
Pious Missier S.
author_facet Martina Jency J.
Babisha Julit R. L.
Pious Missier S.
author_sort Martina Jency J.
collection DOAJ
description The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by Ng#-resolvable spaces, Ng#-irresolvable spaces and strongly Ng#-irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations.
format Article
id doaj-art-a343a8d61c0f45478494e2f05da1de9e
institution Kabale University
issn 2331-6055
2331-608X
language English
publishDate 2025-01-01
publisher University of New Mexico
record_format Article
series Neutrosophic Sets and Systems
spelling doaj-art-a343a8d61c0f45478494e2f05da1de9e2025-08-20T04:03:21ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-01-017530931810.5281/zenodo.13950379Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological SpacesMartina Jency J.Babisha Julit R. L.Pious Missier S.The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by Ng#-resolvable spaces, Ng#-irresolvable spaces and strongly Ng#-irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations.https://fs.unm.edu/nss8/index.php/111/article/view/5111/2142ng#−closed setng#−dense setng#−irresolvable spacesstrongly ng#−irresolvable spaces
spellingShingle Martina Jency J.
Babisha Julit R. L.
Pious Missier S.
Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces
Neutrosophic Sets and Systems
ng#−closed set
ng#−dense set
ng#−irresolvable spaces
strongly ng#−irresolvable spaces
title Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces
title_full Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces
title_fullStr Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces
title_full_unstemmed Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces
title_short Ng#-Irresolvable and Strongly Ng#-Irresolvable Spaces in Neutrosophic Topological Spaces
title_sort ng irresolvable and strongly ng irresolvable spaces in neutrosophic topological spaces
topic ng#−closed set
ng#−dense set
ng#−irresolvable spaces
strongly ng#−irresolvable spaces
url https://fs.unm.edu/nss8/index.php/111/article/view/5111/2142
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AT babishajulitrl ngirresolvableandstronglyngirresolvablespacesinneutrosophictopologicalspaces
AT piousmissiers ngirresolvableandstronglyngirresolvablespacesinneutrosophictopologicalspaces