On some properties of the Cantor set and the construction of a class of sets with Cantor set properties
Maitreyee Dasgupta (1974)
Czechoslovak Mathematical Journal
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Displaying similar documents to “The midpoint set of a Cantor set.”
On some properties of the Cantor set and the construction of a class of sets with Cantor set properties
An orthonormal system on the construction of the generalized Cantor set.
Rizkalla, Raafat Riad (1993)
International Journal of Mathematics and Mathematical Sciences
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Generalization of some known properties of Cantor set
Dilip Kumar Ganguly (1978)
Czechoslovak Mathematical Journal
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A class of sets whose distance set fills an interval
Ken W. Lee (1979)
Czechoslovak Mathematical Journal
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On the structure of the intersection of two middle third Cantor sets.
Gregory J. Davis, Tian You Hu (1995)
Publicacions Matemàtiques
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Motivated by the study of planar homoclinic bifurcations, in this paper we describe how the intersection of two middle third Cantor sets changes as the sets are translated across each other. The resulting description shows that the intersection is never empty; in fact, the intersection can be either finite or infinite in size. We show that when the intersection is finite then the number of points in the intersection will be either 2 or 3 · 2. We also explore the Hausdorff dimension of...