When Cantor Sets Intersect Thickly

Brian R. Hunt, Ittai Kan, and James A. Yorke

Trans. Amer. Math. Soc. 339 (1993), 869-888.

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 thickness of two Cantor sets which imply that their intersection contains a Cantor set of positive thickness.

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