£ -Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces.

This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of £-single valued neutrosophic extremally disconnected and £-single valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic ideal- R i (r- S V N I R i , for short), where i = { 0 , 1 , 2 , 3 } , and r-single valued neutrosophic ideal- T j (r- S V N I T j , for short), where j = { 1 , 2 , 2 1 2 , 3 , 4 } , are introduced. Some of their characterizations, fundamental properties, and the relations between these notions have been studied. [ABSTRACT FROM AUTHOR]