Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6898967 | Journal of the Egyptian Mathematical Society | 2017 | 5 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Jonathan Ortiz-Castro,