On Ψ∗-operator in ideal m-spaces



Document title: On Ψ∗-operator in ideal m-spaces
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000398607
ISSN: 0037-8712
Authors: 1
Institutions: 1Mutah University, Faculty of Science, Mu'tah, Karak. Jordania
Year:
Volumen: 30
Number: 1
Pages: 53-66
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract An ideal on a set X is a nonempty collection of subsets of X with heredity property which is also closed finite unions. The concept of ideal m-spaces was introduced by Al-Omari and Noiri [1]. In this paper, we introduce and study an operator Ψ∗ : P(X) → M defined as follows for every A ∈ X, Ψ∗(A) = {x ∈ X : there exists a U ∈ M(x) such that U − A ∈ I}, and observes that Ψ∗(A) = X − (X − A)∗
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Topología,
Espacios topológicos,
Ideales,
Operadores
Keyword: Mathematics,
Pure mathematics,
Topology,
Topological spaces,
Ideals,
Operators
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