Emanuel Sperner (original) (raw)
Emanuel Sperner (Prusinowice, 9 de desembre de 1905 - Laufen (Sulzburg), 31 de gener de 1980) va ser un matemàtic alemany.
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| dbo:abstract | Emanuel Sperner (Prusinowice, 9 de desembre de 1905 - Laufen (Sulzburg), 31 de gener de 1980) va ser un matemàtic alemany. (ca) Emanuel Sperner (9. prosince 1905 Nysa, Německo – 31. ledna 1980 , Německo) byl německý matematik a filozof, člen . Je známý především díky práci v oblastech funkcionální analýzy a teorie uspořádání. V matematice je po něm pojmenováno několik vět, k nejznámějším patří . (cs) Ο Εμάνουελ Σπέρνερ (γερμ. Emanuel Sperner, 1905 - 1980) ήταν Γερμανός μαθηματικός, γνωστός για δύο θεωρήματα που ονομάστηκαν κατ' αυτόν. (el) Emanuel Sperner (* 9. Dezember 1905 in Waltdorf, Landkreis Neisse, Provinz Schlesien; † 31. Januar 1980 in Laufen, Markgräflerland) war ein deutscher Mathematiker, der für zwei nach ihm benannte Sätze bekannt ist. (de) Emanuel Sperner (9 December 1905 – 31 January 1980) was a German mathematician, best known for two theorems. He was born in Waltdorf (near Neiße, Upper Silesia, now Nysa, Poland), and died in Sulzburg-Laufen, West Germany. He was a student at in Nysa and then Hamburg University where his advisor was Wilhelm Blaschke. He was appointed Professor in Königsberg in 1934, and subsequently held posts in a number of universities until 1974. Sperner's theorem, from 1928, says that the size of an antichain in the power set of an n-set (a Sperner family) is at most the middle binomial coefficient(s). It has several proofs and numerous generalizations, including the Sperner property of a partially ordered set. Sperner's lemma, from 1928, states that every Sperner coloring of a triangulation of an n-dimensional simplex contains a cell colored with a complete set of colors. It was proven by Sperner to provide an alternate proof of a theorem of Lebesgue characterizing dimensionality of Euclidean spaces. It was later noticed that this lemma provides a direct proof of the Brouwer fixed-point theorem without explicit use of homology. Sperner's students included Kurt Leichtweiss and Gerhard Ringel. (en) Emanuel Sperner (9 décembre 1905 - 31 janvier 1980) est un mathématicien allemand particulièrement connu pour son théorème sur les familles de Sperner et pour le lemme de Sperner. Il est né à Waltdorf (près de Nysa, aujourd'hui en Pologne) et mort à Sulzburg-Laufen. Il étudia à l'université de Hambourg sous la direction d'Otto Schreier et Wilhelm Blaschke. Il fut nommé professeur à Königsberg en 1934 puis, jusqu'en 1974, dans nombre d'universités, dont celles de Strasbourg (1943-1945) et de Hambourg (1954-1974). (fr) Emanuel Sperner (ur. 9 grudnia 1905 w Prusinowicach, zm. 31 stycznia 1980 w ) – niemiecki matematyk. (pl) Emanuel Sperner foi um matemático alemão. Nasceu em (próximo a Nysa, Alta Silésia, atualmente Polônia), e morreu em Sulzburg, Alemanha. Estudou na Universidade de Hamburgo, onde seu supervisor foi Wilhelm Blaschke. Foi professor na Universidade de Königsberg em 1934, de 1943 a 1945 na Universidade de Estrasburgo, de 1946 a 1949 na Universidade de Freiburg, de 1949 a 1954 na Universidade de Bonn e de 1954 a 1974 na Universidade de Hamburgo. (pt) |
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| rdfs:comment | Emanuel Sperner (Prusinowice, 9 de desembre de 1905 - Laufen (Sulzburg), 31 de gener de 1980) va ser un matemàtic alemany. (ca) Emanuel Sperner (9. prosince 1905 Nysa, Německo – 31. ledna 1980 , Německo) byl německý matematik a filozof, člen . Je známý především díky práci v oblastech funkcionální analýzy a teorie uspořádání. V matematice je po něm pojmenováno několik vět, k nejznámějším patří . (cs) Ο Εμάνουελ Σπέρνερ (γερμ. Emanuel Sperner, 1905 - 1980) ήταν Γερμανός μαθηματικός, γνωστός για δύο θεωρήματα που ονομάστηκαν κατ' αυτόν. (el) Emanuel Sperner (* 9. Dezember 1905 in Waltdorf, Landkreis Neisse, Provinz Schlesien; † 31. Januar 1980 in Laufen, Markgräflerland) war ein deutscher Mathematiker, der für zwei nach ihm benannte Sätze bekannt ist. (de) Emanuel Sperner (9 décembre 1905 - 31 janvier 1980) est un mathématicien allemand particulièrement connu pour son théorème sur les familles de Sperner et pour le lemme de Sperner. Il est né à Waltdorf (près de Nysa, aujourd'hui en Pologne) et mort à Sulzburg-Laufen. Il étudia à l'université de Hambourg sous la direction d'Otto Schreier et Wilhelm Blaschke. Il fut nommé professeur à Königsberg en 1934 puis, jusqu'en 1974, dans nombre d'universités, dont celles de Strasbourg (1943-1945) et de Hambourg (1954-1974). (fr) Emanuel Sperner (ur. 9 grudnia 1905 w Prusinowicach, zm. 31 stycznia 1980 w ) – niemiecki matematyk. (pl) Emanuel Sperner foi um matemático alemão. Nasceu em (próximo a Nysa, Alta Silésia, atualmente Polônia), e morreu em Sulzburg, Alemanha. Estudou na Universidade de Hamburgo, onde seu supervisor foi Wilhelm Blaschke. Foi professor na Universidade de Königsberg em 1934, de 1943 a 1945 na Universidade de Estrasburgo, de 1946 a 1949 na Universidade de Freiburg, de 1949 a 1954 na Universidade de Bonn e de 1954 a 1974 na Universidade de Hamburgo. (pt) Emanuel Sperner (9 December 1905 – 31 January 1980) was a German mathematician, best known for two theorems. He was born in Waltdorf (near Neiße, Upper Silesia, now Nysa, Poland), and died in Sulzburg-Laufen, West Germany. He was a student at in Nysa and then Hamburg University where his advisor was Wilhelm Blaschke. He was appointed Professor in Königsberg in 1934, and subsequently held posts in a number of universities until 1974. Sperner's students included Kurt Leichtweiss and Gerhard Ringel. (en) |
| rdfs:label | Emanuel Sperner (ca) Emanuel Sperner (cs) Emanuel Sperner (en) Emanuel Sperner (de) Εμάνουελ Σπέρνερ (el) Emanuel Sperner (fr) Emanuel Sperner (pl) Emanuel Sperner (pt) |
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