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This paper introduces and investigates several new classes of sets called P-α-open sets, Psemiopen sets, P-preopen sets, and P-β-open sets within the framework of primal topological spaces. Their properties and relationships with other open set generalizations are studied through examples. Additionally, the concepts of PR-sets and PRα -sets are defined and their characteristics examined. Also, the notions of P-α-continuous, P-semicontinuous, P-precontinuous and P-β-continuous mappings are initiated and their features and main characterizations determined. A new class of sets called ΨP -sets is also introduced in primal topological spaces using the ΨP -operator. Their properties and relationships between Ψ_ P -sets, α-open, semi-open, and pre-open are investigated. Theorems on arbitrary unions and finite intersections of ΨP are discussed.
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Al-Saadi et al. (Tue,) studied this question.
www.synapsesocial.com/papers/68e6cbe0b6db6435876495e9 — DOI: https://doi.org/10.29020/nybg.ejpam.v17i2.5171
Hanan Al-Saadi
Muna Al-Hodieb
European Journal of Pure and Applied Mathematics
Umm al-Qura University
Qassim University
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