TY - JOUR
AU - Murad Arar,
AU - Saeid Jafari,
TI - Neutrosophic µ-Topological spaces
PY - 2020/12/03
Y2 - 2024/10/08
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 38
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/4172
SP - 51-66
AB - In this paper, the concept of neutrosophic µ−topological spaces is introduced. We define and studythe properties of neutrosophic µ−open sets, µ−closed sets, µ−interior and µ−closure. The set of all generalizeneutrosophic pre-closed sets GNP C(τ ) and the set of all neutrosophic α-open sets in a neutrosophic topologicalspace (X, τ ) can be considered as examples of generalized neutrosophic µ−topological spaces. The conceptof neutrosophic µ − continuity is defined and we studied their properties. We define and study the properties of neutrosophic µ − compact, µ-Lindel¨of and µ-countably compact spaces. We prove that for a countableneutrosophic µ-space X: µ-countably compactness and µ-compactness are equivalent. We give an example ofa neutrosophic µ-space X which has a neutrosophic countable µ-base but it is not neutrosophic µ-countablycompact .
ER -