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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Format: | Article |
Language: | English |
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Wiley
1989-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171289000025 |
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_version_ | 1832567509328330752 |
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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. |
format | Article |
id | doaj-art-44a3d21c33dd4ce0b88614a8e8ad4a9f |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1989-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
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 |
work_keys_str_mv | AT mmrsevic anoteonweaklythcontinuousfunctions AT ilreilly anoteonweaklythcontinuousfunctions AT mmrsevic noteonweaklythcontinuousfunctions AT ilreilly noteonweaklythcontinuousfunctions |