Generalization of New Continuous Functions in Topological Spaces

 

P. G. Patil¹, T. D. Rayanagoudar² and S. S. Benchalli³

¹Department of Mathematics, SKSVM Agadi College of Engg. and Techn., Laxmeshwar-582 116, Karnataka State, India. pgpatil01@gmail.com

²Department of Mathematics, Govt.First Grade College, Annigeri-582 116, Karnataka State, India. rgoudar1980@gmail.com

³Department of Mathematics, Karnatak University, Dharwad-580 003 Karnataka State, India. benchalliss@gmail.com

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ABSTRACT

In this paper, ωα-closed sets and ωα-open sets are used to dene and investigate the new classes of functions namely somewhat ωα-continuous functions and totally ωα-continuous functions.

Keywords and Phrases: ωα-closed, ωα-open, ωα-continuous, somewhat ωα-continuous and totally ωα-continuous functions.

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RESUMEN

En este artículo conjuntos cerrados-ωα y abiertos-ωα se usan para definir e investigar las clases de nuevas funciones continuas ωα y totalmente ontinuas ωα.

2010 AMS Mathematics Subject Classification: 54C08, 54C10.

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References

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Received: April 2013 / Accepted: September 2013.