Quasi-open functions in Euclidean spaces
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.
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.
Cite this article
F. K. Muradov, Quasi-open functions in Euclidean spaces, J. Semigroup Theory Appl. 1 (2012), 29–33.
BibTeX
@article{Muradov2012,
author = {Muradov, Firudin Kh.},
title = {Quasi-open functions in Euclidean spaces},
journal = {J. Semigroup Theory Appl.},
volume = {1},
year = {2012},
pages = {29--33},
doi = {}
}