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2020•Malaya Journal of MatematikOpen access

On Kasaj topological spaces

Kashyap G. Rachchh, Sajeed I. Ghanchi

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Abstract

In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes ofweak open sets namely Kasaj-pre-open sets and Kasaj-semi-open sets in Kasaj topological spaces and analyze their basic properties. We shall also define new types of continuous functions namely Kasaj-continuous function, Kasaj-pre-continuous function, Kasaj-semi-continuous function in Kasaj topological space.

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What this paper is about

In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes ofweak open sets namely Kasaj-pre-open sets and Kasaj-semi-open sets in Kasaj topological spaces and analyze their basic properties. We shall also define new types of continuous functions namely Kasaj-continuous function, Kasaj-pre-continuous function, Kasaj-semi-continuous function in Kasaj topological space.

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Available abstract

In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes ofweak open sets namely Kasaj-pre-open sets and Kasaj-semi-open sets in Kasaj topological spaces and analyze their basic properties. We shall also define new types of continuous functions namely Kasaj-continuous function, Kasaj-pre-continuous function, Kasaj-semi-continuous function in Kasaj topological space.

Key concepts: Topological space, Topology (electrical circuits), Mathematics, Geography, Pure mathematics, Combinatorics

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