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381462

Some existence results on Cantor sets

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Last updated: 29 Dec 2024

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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.

DOI

10.1016/j.joems.2017.02.002

Volume

25

Article Issue

3

Related Issue

50488

Issue Date

2017-09-01

Receive Date

2024-09-24

Publish Date

2017-09-01

Page Start

326

Page End

330

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_381462.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381462

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381,462

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Some existence results on Cantor sets

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Article

Created At

21 Dec 2024