Hausdorff theorem

Hausdorff theorem
теорема f Хаус-дорфа

English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. . 1994.

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  • Hausdorff dimension — In mathematics, the Hausdorff dimension (also known as the Hausdorff–Besicovitch dimension) is an extended non negative real number associated to any metric space. The Hausdoff dimension generalizes the notion of the dimension of a real vector… …   Wikipedia

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  • Hausdorff space — In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space …   Wikipedia

  • Hausdorff measure — In mathematics a Hausdorff measure is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in R n or, more generally, in any metric space. The zero dimensional Hausdorff measure is the number of points in …   Wikipedia

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  • Riesz–Thorin theorem — In mathematics, the Riesz–Thorin theorem, often referred to as the Riesz–Thorin interpolation theorem or the Riesz–Thorin convexity theorem is a result about interpolation of operators. It is named after Marcel Riesz and his student G. Olof… …   Wikipedia

  • Riesz representation theorem — There are several well known theorems in functional analysis known as the Riesz representation theorem. They are named in honour of Frigyes Riesz. The Hilbert space representation theorem This theorem establishes an important connection between a …   Wikipedia


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