Some existence results on Cantor sets | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 25, Issue 3, 2017, Page 326-330 PDF (323.66 K) | ||||
DOI: 10.1016/j.joems.2017.02.002 | ||||
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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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