When Cantor sets intersect thickly
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- by Brian R. Hunt, Ittai Kan and James A. Yorke
- Trans. Amer. Math. Soc. 339 (1993), 869-888
- DOI: https://doi.org/10.1090/S0002-9947-1993-1117219-8
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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.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- 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