Original Articles

On H-closed and U-closed functions

Published in: Quaestiones Mathematicae
Volume 35 , issue 2 , 2012 , pages: 181–194

DOI: 10.2989/16073606.2012.696852

Author(s): Filippo Cammaroto Dipartimento di Matematica, Italy , Andrei Catalioto Dipartimento di Matematica, Italy , Jack Porter Department of Mathematics, USA

Keywords: 54B05 , 54B10 , 54C10 , 54C20 , 54D10 , 54D25 , 54G20 , 54B05 , 54B10 , 54C10 , 54C20 , 54D10 , 54D25 , 54G20

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Abstract

In this article, we extend the work on H-closed functions started by Cammaroto, Fedorchuk and Porter in 1998. Also, U-closed functions are introduced and characterized in terms of filters and adherence. The hereditary and productivity properties are examined and developed for both H-closed and U-closed functions.

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