Weak openness and almost openness

Weak openness and almost openness for arbitrary functions between topological spaces are defined as duals to the weak continuity of Levine and the almost continuity of Husain respectively. Independence of these two openness conditions is noted and comparison is made between these and the almost open...

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Bibliographic Details
Main Author:	David A. Rose
Format:	Article
Language:	English
Published:	Hindawi Limited 1984-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	weak openness almost openness nearly almost openness.
Online Access:	http://dx.doi.org/10.1155/S0161171284000041

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spelling	doaj-3b6512bc20054fd18bf8b73e3fab89c12020-11-24T22:16:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-0171354010.1155/S0161171284000041Weak openness and almost opennessDavid A. Rose0Department of Mathematics, Francis Marion College, Florence 29501, South Carolina, USAWeak openness and almost openness for arbitrary functions between topological spaces are defined as duals to the weak continuity of Levine and the almost continuity of Husain respectively. Independence of these two openness conditions is noted and comparison is made between these and the almost openness of Singal and Singal. Some results dual to those known for weak continuity and almost continuity are obtained. Nearly almost openness is defined and used to obtain an improved link from weak continuity to almost continuity.http://dx.doi.org/10.1155/S0161171284000041weak opennessalmost opennessnearly almost openness.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	David A. Rose
spellingShingle	David A. Rose Weak openness and almost openness International Journal of Mathematics and Mathematical Sciences weak openness almost openness nearly almost openness.
author_facet	David A. Rose
author_sort	David A. Rose
title	Weak openness and almost openness
title_short	Weak openness and almost openness
title_full	Weak openness and almost openness
title_fullStr	Weak openness and almost openness
title_full_unstemmed	Weak openness and almost openness
title_sort	weak openness and almost openness
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1984-01-01
description	Weak openness and almost openness for arbitrary functions between topological spaces are defined as duals to the weak continuity of Levine and the almost continuity of Husain respectively. Independence of these two openness conditions is noted and comparison is made between these and the almost openness of Singal and Singal. Some results dual to those known for weak continuity and almost continuity are obtained. Nearly almost openness is defined and used to obtain an improved link from weak continuity to almost continuity.
topic	weak openness almost openness nearly almost openness.
url	http://dx.doi.org/10.1155/S0161171284000041
work_keys_str_mv	AT davidarose weakopennessandalmostopenness
_version_	1725788047890448384

Weak openness and almost openness

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