On the semigroups of quasi-open transformations

Firudin Kh. Muradov

Abstract


In this paper we consider the semigroups of quasi-open transformations. A map 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 characterizations of semigroups of continuous quasi-open transformations defined on an open set of Euclidean n-space and semigroups of quasi-open mappings defined on a certain class of topological spaces.

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Published: 2015-07-09

How to Cite this Article:

Firudin Kh. Muradov, On the semigroups of quasi-open transformations, J. Semigroup Theory Appl., 2015 (2015), Article ID 5

Copyright © 2015 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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