• Thumbnail for Eduard Čech
    closure operator Čech cohomology Čech nerve Stone–Čech compactification Tychonoff's theorem O'Connor, John J.; Robertson, Edmund F., "Eduard Čech", MacTutor...
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  • In the mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal...
    21 KB (2,917 words) - 06:54, 21 May 2024
  • Thumbnail for Čech cohomology
    open covers of a topological space. It is named for the mathematician Eduard Čech. Let X be a topological space, and let U {\displaystyle {\mathcal {U}}}...
    17 KB (3,381 words) - 15:56, 2 December 2023
  • Cech (born 1974), South African rower. Eduard Čech (1893–1960), Czech mathematician. Filip Čech (born 1980), Czech ice hockey player. František Čech,...
    2 KB (241 words) - 01:27, 28 April 2024
  • conductor, teacher and critic Eduard Čech (1893–1960), Czech mathematician Eduard Clam-Gallas (1805–1891), Austrian general Eduard Cristian Zimmermann (born...
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  • . {\displaystyle {\mathcal {T}}_{\text{seq}}={\mathcal {T}}.} Eduard Čech Eduard Čech, Zdeněk Frolík, Miroslav Katětov, Topological spaces Prague: Academia...
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  • group. In the special case of abelian groups, Tor was introduced by Eduard Čech (1935) and named by Samuel Eilenberg around 1950. It was first applied...
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  • Thumbnail for Cardinal number
    Continuous Functions, Lecture Notes in Mathematics 1315, Springer-Verlag. Eduard Čech, Topological Spaces, revised by Zdenek Frolík and Miroslav Katetov, John...
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  • cohomology ring. The cup product was introduced in work of J. W. Alexander, Eduard Čech and Hassler Whitney from 1935–1938, and, in full generality, by Samuel...
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  • square. The first formal definition of covering dimension was given by Eduard Čech, based on an earlier result of Henri Lebesgue. A modern definition is...
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  • Thumbnail for Karel Petr
    independently rediscovered by Jesse Douglas in 1940 and by B H Neumann in 1941. Eduard Čech was a doctoral student of Petr at Charles University in Prague. Petr's...
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  • Thumbnail for Charles University
    pediatrician Rudolf Rabl (1889–1951), lawyer Karel Čapek (1890–1938), writer Eduard Čech (1893–1960), mathematician Stanislav Grof (b. 1931), psychologist Jaroslav...
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  • ≤ p, to form a composite chain of degree p − q. It was introduced by Eduard Čech in 1936, and independently by Hassler Whitney in 1938. Let X be a topological...
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  • philosopher, and theologian Otakar Borůvka, mathematician Josef Božek engineer Eduard Čech, mathematician František Čelakovský, linguist and writer Václav Cílek...
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  • George Henri Halphen, Ernest Julius Wilczynski, E. Bompiani, G. Fubini, Eduard Čech, amongst others), without a comprehensive theory of differential invariants...
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  • generalise the nonabelian fundamental group to all dimensions. In 1932, Eduard Čech submitted a paper on higher homotopy groups to the International Congress...
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  • on its modern form until the advent of cohomology in the 1930s, when Eduard Čech and Hassler Whitney invented the cup and cap products and formulated...
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  • Norman Steenrod constructed Čech cohomology by dualizing Čech homology. From 1936 to 1938, Hassler Whitney and Eduard Čech developed the cup product (making...
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  • Thumbnail for Masaryk University
    Protectorate of Bohemia and Moravia Matyáš Lerch (1860–1922) – mathematician Eduard Čech (1893–1960) – mathematician Ladislav Skula (1937) – mathematician Arne...
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  • is equal to its de Rham cohomology. A different approach is by Čech cohomology. Čech cohomology was the first cohomology theory developed for sheaves...
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  • group of an arbitrary topological space. This was doubtless known to Eduard Čech and Jean Leray and explicitly appeared as a remark in a paper by André...
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  • Perfect Foresight and Economic Equilibrium, after which his colleague Eduard Čech pointed him to an article of John von Neumann, Zur Theorie der Gesellschaftsspiele...
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  • Thumbnail for Czechs
    According to legend, it comes from their leader Čech, who brought them to Bohemia. Research regards Čech as a derivative of the root čel- (member of the...
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  • Solomon Lefschetz, Lev Pontryagin, Andrey Kolmogorov, Norman Steenrod, Eduard Čech: the early cochain notions Hermann Weyl: the Kirchhoff laws stated in...
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  • Thumbnail for Otakar Borůvka
    position at Masaryk was taken by Eduard Čech, whom Borůvka also assisted, earning his doctorate in 1923. At Čech's suggestion, Borůvka visited Élie Cartan...
    10 KB (1,026 words) - 08:40, 26 February 2024
  • Cartan Giuseppe Casazza Ugo Cassina [it] Guido Castelnuovo Ettore Cavalli Eduard Čech Jean Chazy Salvatore Cherubino [it] P'ei-Yuan Chou Leon Chwistek Louis...
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  • Thumbnail for Homotopy groups of spheres
    group were also introduced. Higher homotopy groups were first defined by Eduard Čech in 1932. (His first paper was withdrawn on the advice of Pavel Sergeyevich...
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  • functions, for example to introduce piecewise linear structures. 1932 Eduard Čech Čech cohomology. 1933 Solomon Lefschetz Singular homology of topological...
    43 KB (1,178 words) - 12:09, 12 December 2023
  • after Augustin-Louis Cauchy Eduard Čech, Czech mathematician – Čech cohomology, Čech complex, Čech homology, Stone–Čech compactification Hugh Cecil,...
    117 KB (11,082 words) - 12:45, 14 June 2024
  • Thumbnail for Pavel Alexandrov
    Publishing House. p. 96. ISBN 978-5-19-011041-8. Chernavsky A.V. (1971). "Eduard Cech (to the tenth anniversary of his death)" (PDF). Russian Mathematical...
    17 KB (1,813 words) - 13:58, 6 May 2024