A note on weakly θ-continuous functions

Recently a new class of functions between topological spaces, called weakly θ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weakly θ-continuous function reduces it to a weakly continuous function. This paper exam...

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Main Authors: M. Mrševic, I. L. Reilly
Format: Article
Language:English
Published: Wiley 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171289000025
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author M. Mrševic
I. L. Reilly
author_facet M. Mrševic
I. L. Reilly
author_sort M. Mrševic
collection DOAJ
description Recently a new class of functions between topological spaces, called weakly θ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weakly θ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.
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language English
publishDate 1989-01-01
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spelling doaj-art-44a3d21c33dd4ce0b88614a8e8ad4a9f2025-02-03T01:01:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112191310.1155/S0161171289000025A note on weakly θ-continuous functionsM. Mrševic0I. L. Reilly1Department of Mathematics, Faculty of Sciences, University of Belgrade, SerbiaDepartment of Mathematics, University of California, Davis, California 95616, USARecently a new class of functions between topological spaces, called weakly θ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weakly θ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.http://dx.doi.org/10.1155/S0161171289000025
spellingShingle M. Mrševic
I. L. Reilly
A note on weakly θ-continuous functions
International Journal of Mathematics and Mathematical Sciences
title A note on weakly θ-continuous functions
title_full A note on weakly θ-continuous functions
title_fullStr A note on weakly θ-continuous functions
title_full_unstemmed A note on weakly θ-continuous functions
title_short A note on weakly θ-continuous functions
title_sort note on weakly θ continuous functions
url http://dx.doi.org/10.1155/S0161171289000025
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