| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01007 | |
| Number of page(s) | 5 | |
| DOI | https://doi.org/10.1051/itmconf/20182201007 | |
| 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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