• Thumbnail for Felix Hausdorff
    Felix Hausdorff (/ˈhaʊsdɔːrf/ HOWS-dorf, /ˈhaʊzdɔːrf/ HOWZ-dorf; November 8, 1868 – January 26, 1942) was a German mathematician, pseudonym Paul Mongré...
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  • after Felix Hausdorff, one of the founders of topology. Hausdorff's original definition of a topological space (in 1914) included the Hausdorff condition...
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  • its own right. It is named after Felix Hausdorff and Dimitrie Pompeiu. Informally, two sets are close in the Hausdorff distance if every point of either...
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  • In mathematics, Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a...
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  • dimensions, specifically fractals and their Hausdorff dimensions. It is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each...
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  • Thumbnail for Hausdorff dimension
    Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff....
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  • The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere S 2 {\displaystyle {S^{2}}} (the surface of a 3-dimensional...
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  • In mathematics, the Baker–Campbell–Hausdorff formula gives the value of Z {\displaystyle Z} that solves the equation e X e Y = e Z {\displaystyle e^{X}e^{Y}=e^{Z}}...
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  • In mathematics, the Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168)...
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  • Look up Hausdorff in Wiktionary, the free dictionary. Hausdorff may refer to: Felix Hausdorff (1868–1942), German mathematician after whom Hausdorff spaces...
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  • and screenwriter Felix Hamrin (1875–1937), Swedish politician Felix Hanemann (born 1953), American singer and musician Felix Hausdorff (1868–1942), German...
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  • cardinality of the continuum. It was used by Felix Hausdorff and named by him after Georg Cantor and Felix Bernstein. Cantor constructed a family of countable...
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    definitions by the transfinite induction". Building on the Hausdorff paradox of Felix Hausdorff (1914), Stefan Banach and Alfred Tarski in 1924 showed how...
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    Eminent mathematicians, such as Karl Weierstrass, Felix Klein, Friedrich Hirzebruch and Felix Hausdorff; Major philosophers, such as Friedrich Nietzsche...
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    Victor Folke Nelson, Dalida, Jeannine "The Singing Nun" Deckers, Felix Hausdorff, Abbie Hoffman, Phyllis Hyman, Marilyn Monroe, Cesare Pavese, C. P...
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  • previous five years. The award is named after the German mathematician Felix Hausdorff (1868–1942). 2013: Hugh Woodin for his articles "Suitable extender...
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  • unit interval and on the paradoxical decompositions of the sphere by Felix Hausdorff, and discussed a number of related questions concerning decompositions...
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  • locally like a Euclidean plane. Topological spaces were first defined by Felix Hausdorff in 1914 in his seminal "Principles of Set Theory". Metric spaces had...
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  • example, the definition given by Felix Hausdorff in 1914 is equivalent to the modern definition plus the Hausdorff separation axiom. The separation axioms...
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    a 0 = 1 ,   a 1 = 6 {\displaystyle a_{0}=1,\ a_{1}=6} . The sponge's Hausdorff dimension is ⁠log 20/log 3⁠ ≅ 2.727. The Lebesgue covering dimension of...
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  • In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence (m0, m1...
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  • Thumbnail for Topology
    metric spaces. In 1914, Felix Hausdorff coined the term "topological space" and gave the definition for what is now called a Hausdorff space. Currently, a...
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  • proven that such a well-ordering cannot exist. A few weeks later, Felix Hausdorff found a mistake in the proof. It turned out, though, that in first-order...
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  • a graded module associated to the filtration. The concept is named after Felix Hausdorff. linear topology Nicolas Bourbaki, Commutative algebra v t e...
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    Stefan Zweig, Charles Boyer, Ruan Lingyu, Dalida, Jeannine Deckers, Felix Hausdorff, Abbie Hoffman, Phyllis Hyman, C. P. Ramanujam, George Sanders, Jean...
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    Theory" (PDF). 9th ACMS Conference Proceedings: 4. Cohen 1963, p. 1143 Felix Hausdorff (2021). Set Theory. American Mathematical Soc. p. 44. ISBN 978-1-4704-6494-3...
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    (Ekadash Shreni). Scholar Books Pvt. Ltd. p. 5. Halmos 1960, Sect.2. Felix Hausdorff (2005). Set Theory. American Mathematical Soc. p. 30. ISBN 978-0-8218-3835-8...
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    Self-avoiding walk People Michael Barnsley Georg Cantor Bill Gosper Felix Hausdorff Desmond Paul Henry Gaston Julia Niels Fabian Helge von Koch Paul Lévy...
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    with the Hausdorff dimension the most popular choice. This line of research was started in the 1990s by Darst, who showed that the Hausdorff dimension...
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    1906 by René Maurice Fréchet and the term metric space was coined by Felix Hausdorff in 1914. Fréchet's work laid the foundation for understanding convergence...
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