Generalized separation axioms in bitopological spaces

Faculty Science Year: 2005
Type of Publication: Article Pages: 117-129
Authors:
El-Tantawy, OA, Abu-Donia, HM
Journal: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING KING FAHD UNIV PETROLEUM MINERALS Volume: 30
Research Area: Science \& Technology - Other Topics ISSN ISI:000229050900008
Keywords : preopen sets, semi open sets, semi pre open sets, open sets, generalized closed sets, near continuous functions a alpha    
Abstract:
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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