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2018•CuboOpen access

On New Types of Sets Via γ-open Sets in (𝑎)Topological Spaces

B. K. Tyagi, Sheetal Luthra, Harsh V. S. Chauhan

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Abstract

In this paper, we introduced the notion of γ-semi-open sets and γ-P-semi-open sets in (a)topological spaces which is a set equipped with countable number of topologies.Several properties of these notions are discussed. RESUMENEn este artículo, introducimos la noción de conjuntos γ-semi-abiertos y conjuntos γ-Psemi-abiertos en espacios (a)topológicos, el cual es un conjunto dotado con una cantidad numerable de topologías.Discutimos diversas propiedades de estas nociones.

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What this paper is about

In this paper, we introduced the notion of γ-semi-open sets and γ-P-semi-open sets in (a)topological spaces which is a set equipped with countable number of topologies.Several properties of these notions are discussed. RESUMENEn este artículo, introducimos la noción de conjuntos γ-semi-abiertos y conjuntos γ-Psemi-abiertos en espacios (a)topológicos, el cual es un conjunto dotado con una cantidad numerable de topologías.Discutimos diversas propiedades de estas nociones.

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Available abstract

In this paper, we introduced the notion of γ-semi-open sets and γ-P-semi-open sets in (a)topological spaces which is a set equipped with countable number of topologies.Several properties of these notions are discussed. RESUMENEn este artículo, introducimos la noción de conjuntos γ-semi-abiertos y conjuntos γ-Psemi-abiertos en espacios (a)topológicos, el cual es un conjunto dotado con una cantidad numerable de topologías.Discutimos diversas propiedades de estas nociones.

Key concepts: Countable set, Open set, Mathematics, Topological space, Set (abstract data type), Topology (electrical circuits), Second-countable space, Closed set

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