A survey of minimal sets
Walter H. Gottschalk (1964)
Annales de l'institut Fourier
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Walter H. Gottschalk (1964)
Annales de l'institut Fourier
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Asit Baran-Raha (1972)
Colloquium Mathematicae
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Dusa McDuff (1981)
Annales de l'institut Fourier
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Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
L Moser (1959)
Acta Arithmetica
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Berri, M. P., Porter, J. R., Stephenson, R. M., Jr.
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H. Fredricksen, E. J. Ionascu, F. Luca, P. Stănică (2008)
Acta Arithmetica
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Filippo Cammaroto, Andrei Catalioto, Jack Porter (2011)
Open Mathematics
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In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.