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 “Generalization of some known properties of Cantor set”
On some properties of the Cantor set and the construction of a class of sets with Cantor set properties
On some new properties of the Cantor set
Sachi Bhusan Sen Gupta (1971)
Časopis pro pěstování matematiky
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The midpoint set of a Cantor set.
Lee, Ken W. (1978)
International Journal of Mathematics and Mathematical Sciences
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Construction of normal numbers with respect to the Q-Cantor series expansion for certain Q
Bill Mance (2011)
Acta Arithmetica
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Cantor series constructions of sets of normal numbers
Bill Mance (2012)
Acta Arithmetica
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Remarks on Denjoy property and property of real functions
Tibor Šalát (1971)
Časopis pro pěstování matematiky
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Hausdorff measures and two point set extensions
Jan Dijkstra, Kenneth Kunen, Jan van Mill (1998)
Fundamenta Mathematicae
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We investigate the following question: under which conditions is a σ-compact partial two point set contained in a two point set? We show that no reasonable measure or capacity (when applied to the set itself) can provide a sufficient condition for a compact partial two point set to be extendable to a two point set. On the other hand, we prove that under Martin's Axiom any σ-compact partial two point set such that its square has Hausdorff 1-measure zero is extendable.