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2023•European Journal of Pure and Applied MathematicsOpen access

On Some Forms of Closed Sets and Related Topics

Chawalit Boonpok, Chokchai Viriyapong

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Abstract

The purpose of the present article is to introduce the notion of (Λ, s)-closed sets. Especially, some properties of generalized (Λ, s)-closed sets are obtained. Several characterizations of some low separation axioms are given. Characterizations of (Λ, s)-extremally disconnected spaces are investigated. Furthermore, some characterizations of almost (Λ, s)-continuous functions are discussed.

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What this paper is about

The purpose of the present article is to introduce the notion of (Λ, s)-closed sets. Especially, some properties of generalized (Λ, s)-closed sets are obtained. Several characterizations of some low separation axioms are given. Characterizations of (Λ, s)-extremally disconnected spaces are investigated. Furthermore, some characterizations of almost (Λ, s)-continuous functions are discussed.

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Available abstract

The purpose of the present article is to introduce the notion of (Λ, s)-closed sets. Especially, some properties of generalized (Λ, s)-closed sets are obtained. Several characterizations of some low separation axioms are given. Characterizations of (Λ, s)-extremally disconnected spaces are investigated. Furthermore, some characterizations of almost (Λ, s)-continuous functions are discussed.

Key concepts: Mathematics, Separation axiom, Axiom, Closed set, Pure mathematics, Topological space, Discrete mathematics, Algebra over a field

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