A note on the dimension Dind
W. Kulpa (1972)
Colloquium Mathematicae
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Displaying similar documents to “The origins of the concept of dimension”
A note on the dimension Dind
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Dimension of dense subalgebras of C(X)
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Application of Vekua's dimension reduction method to cusped plates and bars.
Jaiani, G. (2001)
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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 further discussion of the Hausdorff dimension in Engel expansions
Lu-ming Shen (2010)
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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).
The dimension of analytic sets
Herrmann Haase (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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On cohomological dimension of a space and its Stone-Čech compactification
Satya Deo, Subhash Muttepawar (1988)
Colloquium Mathematicae
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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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On characterizations of classes of metrizable spaces that have transfinite dimension
Yasunao Hattori (1987)
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Residual sets not of maximum dimension
D. A. Moran (1973)
Colloquium Mathematicae
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Dimension-raising maps in a large scale
Takahisa Miyata, Žiga Virk (2013)
Fundamenta Mathematicae
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Hurewicz's dimension-raising theorem states that dim Y ≤ dim X + n for every n-to-1 map f: X → Y. In this paper we introduce a new notion of finite-to-one like map in a large scale setting. Using this notion we formulate a dimension-raising type theorem for asymptotic dimension and asymptotic Assouad-Nagata dimension. It is also well-known (Hurewicz's finite-to-one mapping theorem) that dim X ≤ n if and only if there exists an (n+1)-to-1 map from a 0-dimensional space onto X. We formulate...