Felix Hausdorff (/ˈhaʊsdɔːrf/ HOWS-dorf, /ˈhaʊzdɔːrf/ HOWZ-dorf; November 8, 1868 – January 26, 1942) was a German mathematician, pseudonym Paul Mongré...
55 KB (7,502 words) - 03:16, 10 November 2024
after Felix Hausdorff, one of the founders of topology. Hausdorff's original definition of a topological space (in 1914) included the Hausdorff condition...
16 KB (2,163 words) - 10:32, 20 August 2024
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...
12 KB (1,861 words) - 23:15, 26 June 2024
In mathematics, Gromov–Hausdorff convergence, named after Mikhail Gromov and Felix Hausdorff, is a notion for convergence of metric spaces which is a...
9 KB (993 words) - 19:21, 17 August 2024
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...
9 KB (1,547 words) - 00:41, 7 November 2023
Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff....
24 KB (3,145 words) - 11:24, 9 October 2024
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...
3 KB (451 words) - 07:09, 17 October 2024
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}}...
35 KB (6,168 words) - 22:17, 20 September 2024
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)...
12 KB (2,194 words) - 14:26, 24 September 2024
Look up Hausdorff in Wiktionary, the free dictionary. Hausdorff may refer to: Felix Hausdorff (1868–1942), German mathematician after whom Hausdorff spaces...
737 bytes (124 words) - 01:21, 15 October 2024
and screenwriter Felix Hamrin (1875–1937), Swedish politician Felix Hanemann (born 1953), American singer and musician Felix Hausdorff (1868–1942), German...
16 KB (1,926 words) - 07:21, 21 October 2024
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...
1 KB (99 words) - 17:41, 10 August 2023
definitions by the transfinite induction". Building on the Hausdorff paradox of Felix Hausdorff (1914), Stefan Banach and Alfred Tarski in 1924 showed how...
207 KB (23,530 words) - 02:35, 7 November 2024
Eminent mathematicians, such as Karl Weierstrass, Felix Klein, Friedrich Hirzebruch and Felix Hausdorff; Major philosophers, such as Friedrich Nietzsche...
94 KB (9,063 words) - 08:12, 21 October 2024
Victor Folke Nelson, Dalida, Jeannine "The Singing Nun" Deckers, Felix Hausdorff, Abbie Hoffman, Phyllis Hyman, Marilyn Monroe, Cesare Pavese, C. P...
12 KB (993 words) - 06:57, 31 July 2024
previous five years. The award is named after the German mathematician Felix Hausdorff (1868–1942). 2013: Hugh Woodin for his articles "Suitable extender...
2 KB (280 words) - 06:06, 20 September 2024
Banach–Tarski paradox (redirect from Banach-Hausdorff-Tarski Paradox)
unit interval and on the paradoxical decompositions of the sphere by Felix Hausdorff, and discussed a number of related questions concerning decompositions...
48 KB (6,854 words) - 00:26, 20 October 2024
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...
28 KB (4,038 words) - 13:10, 21 October 2024
example, the definition given by Felix Hausdorff in 1914 is equivalent to the modern definition plus the Hausdorff separation axiom. The separation axioms...
6 KB (752 words) - 23:44, 31 March 2024
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...
15 KB (1,826 words) - 17:53, 10 October 2024
In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence (m0, m1...
3 KB (497 words) - 23:56, 25 January 2024
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...
35 KB (4,039 words) - 13:48, 23 October 2024
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...
7 KB (989 words) - 17:35, 14 March 2024
a graded module associated to the filtration. The concept is named after Felix Hausdorff. linear topology Nicolas Bourbaki, Commutative algebra v t e...
1 KB (140 words) - 12:10, 21 July 2024
Stefan Zweig, Charles Boyer, Ruan Lingyu, Dalida, Jeannine Deckers, Felix Hausdorff, Abbie Hoffman, Phyllis Hyman, C. P. Ramanujam, George Sanders, Jean...
45 KB (4,737 words) - 06:24, 31 October 2024
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...
54 KB (6,107 words) - 02:36, 10 November 2024
(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...
41 KB (4,771 words) - 14:39, 2 November 2024
Self-avoiding walk People Michael Barnsley Georg Cantor Bill Gosper Felix Hausdorff Desmond Paul Henry Gaston Julia Niels Fabian Helge von Koch Paul Lévy...
14 KB (1,725 words) - 15:08, 26 July 2024
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...
21 KB (3,390 words) - 04:51, 2 November 2024
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...
80 KB (11,081 words) - 20:23, 15 September 2024