The origins of the concept of dimension
R. Duda (1979)
Colloquium Mathematicae
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Displaying similar documents to “On transfinite dimension”
The origins of the concept of dimension
A note on the dimension Dind
W. Kulpa (1972)
Colloquium Mathematicae
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Two variants of Sperner's lemma with application to invariance of dimension theorems
R. Đorđević (1989)
Matematički Vesnik
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On the dimensions of certain incommensurably constructed sets.
Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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On characterizations of classes of metrizable spaces that have transfinite dimension
Yasunao Hattori (1987)
Fundamenta Mathematicae
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Dimension of dense subalgebras of C(X)
Juan B. Sancho de Salas, M.ª Teresa Sancho de Salas (1988)
Extracta Mathematicae
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Application of Vekua's dimension reduction method to cusped plates and bars.
Jaiani, G. (2001)
Bulletin of TICMI
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A further discussion of the Hausdorff dimension in Engel expansions
Lu-ming Shen (2010)
Acta Arithmetica
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On the Information Dimensions
Józef Myjak, Ryszard Rudnicki (2007)
Bollettino dell'Unione Matematica Italiana
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A relationship between the information dimension and the average dimension of a measure is given. Properties of the average dimension are studied.
A transfinite extension of the covering dimension
Regino Criado Herrero, Juan Tarrés Freixenet (1988)
Extracta Mathematicae
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On the Hausdorff dimension of ultrametric subsets in ℝⁿ
James R. Lee, Manor Mendel, Mohammad Moharrami (2012)
Fundamenta Mathematicae
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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).
On the Hausdorff dimension of the expressible set of certain sequences
Jaroslav Hančl, Radhakrishnan Nair, Lukáš Novotný, Jan Šustek (2012)
Acta Arithmetica
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Resolving a question of Arkhangel'skiĭ's
Michael G. Charalambous (2006)
Fundamenta Mathematicae
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We construct in ZFC a cosmic space that, despite being the union of countably many metrizable subspaces, has covering dimension equal to 1 and inductive dimensions equal to 2.
On Nikodym-type sets in high dimensions
Themis Mitsis (2004)
Studia Mathematica
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We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.
Residual sets not of maximum dimension
D. A. Moran (1973)
Colloquium Mathematicae
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