In this paper, a new class of generalized open sets in a topological space, called preregular sp-... more In this paper, a new class of generalized open sets in a topological space, called preregular sp-open sets, is introduced and studied. This class is contained in the class of semi-preclopen sets and cotains all pre-clopen sets. We obtain decompositions of regular open sets by using pre-regular sp-open sets. RESUMEN En este artículo se introduce y estudia una nueva clase de conjuntos abiertos generalizados en un espacio topológico, llamados conjuntos pre-regulares sp-abiertos. Esa clase está contenida en la clase de conjuntos semi-preclopen y contiene todos los conjuntos pre-clopen. Obtenemos descomposiciones de conjuntos abiertos regulares usando conjuntos pre-regulares sp-abiertos.
In this paper, we introduce some new classes of generalized closed sets called ∆ * µ −g−closed, ∆... more In this paper, we introduce some new classes of generalized closed sets called ∆ * µ −g−closed, ∆ * µ −gµ−closed and g ∆ * µ −closed sets, which are related to the classes of gµ−closed sets, g − λµ−closed sets and λµ − g−closed sets. We investigate their properties as well as the relations among these classes of generalized closed sets.
International Journal of Mathematics and Mathematical Sciences, 2006
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closednes... more We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness andC-compactness modulo an ideal which simultaneously generalizesC-compactness and compactness modulo an ideal. We obtain a characterization of maximalC-compactness modulo an ideal. Preservation ofC-compactness modulo an ideal by functions is also investigated.
The notion of weakly e-I-open sets is introduced and used to define the notions of weakly e-I-con... more The notion of weakly e-I-open sets is introduced and used to define the notions of weakly e-I-continuous functions, weakly e-I-open functions. Some characterizations and properties regarding these concepts are discussed.
International Journal of Mathematics and Mathematical Sciences, 2002
The concepts of fuzzycγ-open sets and fuzzycγ-continuity are introduced and studied in fuzzifying... more The concepts of fuzzycγ-open sets and fuzzycγ-continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.
International Journal of Advances in Mathematics, 2018
The aim of this paper is to introduce and study the notions of G I ¦-sets, AG I ¦-sets and BG I ¦... more The aim of this paper is to introduce and study the notions of G I ¦-sets, AG I ¦-sets and BG I ¦-sets sets in ideal topological spaces. Properties of G I ¦-sets, δ ¡ C-sets, AG I ¦-sets, BG I ¦-sets and E I ¦-open sets are investigated. Moreover, the relationships among these sets are investigated.
In this paper, a new class of generalized open sets in a topological space, called preregular sp-... more In this paper, a new class of generalized open sets in a topological space, called preregular sp-open sets, is introduced and studied. This class is contained in the class of semi-preclopen sets and cotains all pre-clopen sets. We obtain decompositions of regular open sets by using pre-regular sp-open sets. RESUMEN En este artículo se introduce y estudia una nueva clase de conjuntos abiertos generalizados en un espacio topológico, llamados conjuntos pre-regulares sp-abiertos. Esa clase está contenida en la clase de conjuntos semi-preclopen y contiene todos los conjuntos pre-clopen. Obtenemos descomposiciones de conjuntos abiertos regulares usando conjuntos pre-regulares sp-abiertos.
In this paper, we introduce some new classes of generalized closed sets called ∆ * µ −g−closed, ∆... more In this paper, we introduce some new classes of generalized closed sets called ∆ * µ −g−closed, ∆ * µ −gµ−closed and g ∆ * µ −closed sets, which are related to the classes of gµ−closed sets, g − λµ−closed sets and λµ − g−closed sets. We investigate their properties as well as the relations among these classes of generalized closed sets.
International Journal of Mathematics and Mathematical Sciences, 2006
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closednes... more We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness andC-compactness modulo an ideal which simultaneously generalizesC-compactness and compactness modulo an ideal. We obtain a characterization of maximalC-compactness modulo an ideal. Preservation ofC-compactness modulo an ideal by functions is also investigated.
The notion of weakly e-I-open sets is introduced and used to define the notions of weakly e-I-con... more The notion of weakly e-I-open sets is introduced and used to define the notions of weakly e-I-continuous functions, weakly e-I-open functions. Some characterizations and properties regarding these concepts are discussed.
International Journal of Mathematics and Mathematical Sciences, 2002
The concepts of fuzzycγ-open sets and fuzzycγ-continuity are introduced and studied in fuzzifying... more The concepts of fuzzycγ-open sets and fuzzycγ-continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.
International Journal of Advances in Mathematics, 2018
The aim of this paper is to introduce and study the notions of G I ¦-sets, AG I ¦-sets and BG I ¦... more The aim of this paper is to introduce and study the notions of G I ¦-sets, AG I ¦-sets and BG I ¦-sets sets in ideal topological spaces. Properties of G I ¦-sets, δ ¡ C-sets, AG I ¦-sets, BG I ¦-sets and E I ¦-open sets are investigated. Moreover, the relationships among these sets are investigated.
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Papers by T. Noiri