ORCID
F. Josephine daisy: https://orcid.org/0009-0006-8704-981X
M. Simaringa: https://orcid.org/0000-0003-0815-8868
Article Type
Review
Abstract
A Neutrosophic Baire Space extends the concept of Baire Space from classical topology to the realm of neutrosophic topology which deals with sets and spaces where truth, falsehood and indeterminancy are explicitly considered. In this paper the concept of neutrosophic σ - baire spaces are introduced in Neutrosophic topological spaces. Also Neutrosophic σ - dense, Neutrosophic σ - nowhere dense, Neutrosophic σ -first category and Neutrosophic σ - second category sets are defined. Several characterizations of neutrosophic σ - baire spaces are investigated and explained using examples and the conditions under which a neutrosophic topological space becomes a neutrosophic σ - baire space are also studied. The relation between Neutrosophic σ - baire space and Neutrosophic P – Space, Neutrosophic Submaximal Space are also explained.
Keywords
Neutrosophic σ - open set, Neutrosophic σ - dense set, Neutrosophic σ - nowhere dense set, Neutrosophic σ - first category set, Neutrosophic σ - second category set, Neutrosophic σ - Baire spaces
How to Cite
Vijayalakshmi, R.; daisy, F. Josephine; and Simaringa, M.
(2025)
"Neutrosophic σ - Baire Spaces,"
Neutrosophic Systems with Applications: Vol. 25:
Iss.
12, Article 1.
DOI: https://doi.org/10.63689/2993-7159.1299
