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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

When Cantor sets intersect thickly


Authors: Brian R. Hunt, Ittai Kan and James A. Yorke
Journal: Trans. Amer. Math. Soc. 339 (1993), 869-888
MSC: Primary 28A80; Secondary 58F99
DOI: https://doi.org/10.1090/S0002-9947-1993-1117219-8
MathSciNet review: 1117219
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Abstract: The thickness of a Cantor set on the real line is a measurement of its "size". Thickness conditions have been used to guarantee that the intersection of two Cantor sets is nonempty. We present sharp conditions on the thicknesses of two Cantor sets which imply that their intersection contains a Cantor set of positive thickness.


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DOI: https://doi.org/10.1090/S0002-9947-1993-1117219-8
Article copyright: © Copyright 1993 American Mathematical Society