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GENERALIZED SEPARATION AXIOMS IN BITOPOLOGICAL SPACES

Osama A. El-Tantawy, H.M. Abu-Donia

Open publisher page 12 citations

Abstract

O.A. El-Tantawy and H.M. Abu-Donia In this paper we introduce some classes of sets in a bitopological space (X, τ 1, τ 2). We show that some of these classes are infra topologies and some are supra topologies. Also, we use these classes to introduce new bitopological properties and new types of continuous functions between bitopological spaces. We prove that some of the introduced bitopological separation properties are preserved under some types of continuous functions.

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What this paper is about

O.A. El-Tantawy and H.M. Abu-Donia In this paper we introduce some classes of sets in a bitopological space (X, τ 1, τ 2). We show that some of these classes are infra topologies and some are supra topologies. Also, we use these classes to introduce new bitopological properties and new types of continuous functions between bitopological spaces. We prove that some of the introduced bitopological separation properties are preserved under some types of continuous functions.

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Available abstract

O.A. El-Tantawy and H.M. Abu-Donia In this paper we introduce some classes of sets in a bitopological space (X, τ 1, τ 2). We show that some of these classes are infra topologies and some are supra topologies. Also, we use these classes to introduce new bitopological properties and new types of continuous functions between bitopological spaces. We prove that some of the introduced bitopological separation properties are preserved under some types of continuous functions.

Key concepts: Separation axiom, Axiom, Mathematics, Network topology, Pure mathematics, Space (punctuation), Topology (electrical circuits), Topological space

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