(2017). Some existence results on Cantor sets. test, 25(3), 326-330. doi: 10.1016/j.joems.2017.02.002
. "Some existence results on Cantor sets". test, 25, 3, 2017, 326-330. doi: 10.1016/j.joems.2017.02.002
(2017). 'Some existence results on Cantor sets', test, 25(3), pp. 326-330. doi: 10.1016/j.joems.2017.02.002
Some existence results on Cantor sets. test, 2017; 25(3): 326-330. doi: 10.1016/j.joems.2017.02.002

Some existence results on Cantor sets

Journal of the Egyptian Mathematical Society
Volume 25, Issue 3, 2017, Pages 326-330    PDF (323.66 K)
DOI: 10.1016/j.joems.2017.02.002
Abstract
The existence of two different Cantor sets, one of them contained in the set of Liouville numbers and the other one inside the set of Diophantine numbers, is proved. Finally, a necessary and sufficient condition for the existence of a Cantor set contained in a subset of the real line is given.
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