ITM Web Conf.
Volume 22, 2018The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|Number of page(s)||5|
|Published online||17 October 2018|
On Characterization of Open Sets in Euclidean Spaces
Department of Mathematics, Near East University,Nicosia, North Cyprus, Mersin - 10, Turkey
A ternary semigroup is a nonempty set T together with a ternary oper- ation [abc] satisfying the associative law [[abc] de] = [a [bcd] e] = [ab [cde]] for all a, b, c, d, e ε T. A map f between topological spaces X and Y is called open if the image of each set open in X is open in Y. The pur- pose of this paper is to give an abstract characterization of the ternary semigroups of open maps defined on open sets in Euclidean n-spaces.
© The Authors, published by EDP Sciences, 2018
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