Quasi-open functions in Euclidean spaces

Firudin Kh. Muradov

Abstract


In this paper we consider the semigroups of quasi-open functions. A function f between topological spaces X and Y is quasi-open if for any non-empty open set U⊂X, the interior of f(U) in Y is non-empty. We give abstract characterization of semigroups  of quasi-open functions defined on an open set of Euclidean n-space.

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How to Cite this Article:

Firudin Kh. Muradov, Quasi-open functions in Euclidean spaces, J. Semigroup Theory Appl., 1 (2012), 29-33

Copyright © 2012 Firudin Kh. Muradov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

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