. . . . "Emanuel Sperner (9 December 1905 \u2013 31 January 1980) was a German mathematician, best known for two theorems. He was born in Waltdorf (near Nei\u00DFe, 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 K\u00F6nigsberg in 1934, and subsequently held posts in a number of universities until 1974. Sperner's students included Kurt Leichtweiss and Gerhard Ringel."@en . . . . . . . . . . . . . . "\u0395\u03BC\u03AC\u03BD\u03BF\u03C5\u03B5\u03BB \u03A3\u03C0\u03AD\u03C1\u03BD\u03B5\u03C1"@el . . "Emanuel Sperner (9 December 1905 \u2013 31 January 1980) was a German mathematician, best known for two theorems. He was born in Waltdorf (near Nei\u00DFe, 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 K\u00F6nigsberg 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 . . ""@en . . . . . . . . . . . "Emanuel Sperner (9. prosince 1905 Nysa, N\u011Bmecko \u2013 31. ledna 1980 , N\u011Bmecko) byl n\u011Bmeck\u00FD matematik a filozof, \u010Dlen . Je zn\u00E1m\u00FD p\u0159edev\u0161\u00EDm d\u00EDky pr\u00E1ci v oblastech funkcion\u00E1ln\u00ED anal\u00FDzy a teorie uspo\u0159\u00E1d\u00E1n\u00ED. V matematice je po n\u011Bm pojmenov\u00E1no n\u011Bkolik v\u011Bt, k nejzn\u00E1m\u011Bj\u0161\u00EDm pat\u0159\u00ED ."@cs . . . . . . . . . . . . . . . . "Emanuel Sperner"@pt . "Emanuel Sperner (* 9. Dezember 1905 in Waltdorf, Landkreis Neisse, Provinz Schlesien; \u2020 31. Januar 1980 in Laufen, Markgr\u00E4flerland) war ein deutscher Mathematiker, der f\u00FCr zwei nach ihm benannte S\u00E4tze bekannt ist."@de . . "Emanuel Sperner foi um matem\u00E1tico alem\u00E3o. Nasceu em (pr\u00F3ximo a Nysa, Alta Sil\u00E9sia, atualmente Pol\u00F4nia), e morreu em Sulzburg, Alemanha. Estudou na Universidade de Hamburgo, onde seu supervisor foi Wilhelm Blaschke. Foi professor na Universidade de K\u00F6nigsberg 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"@en . . . . . . . . . . "3800"^^ . . . . . . . . . . . . "1905-12-09"^^ . . . . . . . . . . "Emanuel Sperner"@ca . . . . . . . . . . . . . . . . . "1980-03-17"^^ . "Emanuel Sperner (ur. 9 grudnia 1905 w Prusinowicach, zm. 31 stycznia 1980 w ) \u2013 niemiecki matematyk."@pl . "\u039F \u0395\u03BC\u03AC\u03BD\u03BF\u03C5\u03B5\u03BB \u03A3\u03C0\u03AD\u03C1\u03BD\u03B5\u03C1 (\u03B3\u03B5\u03C1\u03BC. Emanuel Sperner, 1905 - 1980) \u03AE\u03C4\u03B1\u03BD \u0393\u03B5\u03C1\u03BC\u03B1\u03BD\u03CC\u03C2 \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03CC\u03C2, \u03B3\u03BD\u03C9\u03C3\u03C4\u03CC\u03C2 \u03B3\u03B9\u03B1 \u03B4\u03CD\u03BF \u03B8\u03B5\u03C9\u03C1\u03AE\u03BC\u03B1\u03C4\u03B1 \u03C0\u03BF\u03C5 \u03BF\u03BD\u03BF\u03BC\u03AC\u03C3\u03C4\u03B7\u03BA\u03B1\u03BD \u03BA\u03B1\u03C4' \u03B1\u03C5\u03C4\u03CC\u03BD."@el . . . . . . . . . "Emanuel Sperner (9. prosince 1905 Nysa, N\u011Bmecko \u2013 31. ledna 1980 , N\u011Bmecko) byl n\u011Bmeck\u00FD matematik a filozof, \u010Dlen . Je zn\u00E1m\u00FD p\u0159edev\u0161\u00EDm d\u00EDky pr\u00E1ci v oblastech funkcion\u00E1ln\u00ED anal\u00FDzy a teorie uspo\u0159\u00E1d\u00E1n\u00ED. V matematice je po n\u011Bm pojmenov\u00E1no n\u011Bkolik v\u011Bt, k nejzn\u00E1m\u011Bj\u0161\u00EDm pat\u0159\u00ED ."@cs . "Emanuel Sperner foi um matem\u00E1tico alem\u00E3o. Nasceu em (pr\u00F3ximo a Nysa, Alta Sil\u00E9sia, atualmente Pol\u00F4nia), e morreu em Sulzburg, Alemanha. Estudou na Universidade de Hamburgo, onde seu supervisor foi Wilhelm Blaschke. Foi professor na Universidade de K\u00F6nigsberg 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 d\u00E9cembre 1905 - 31 janvier 1980) est un math\u00E9maticien allemand particuli\u00E8rement connu pour son th\u00E9or\u00E8me sur les familles de Sperner et pour le lemme de Sperner. Il est n\u00E9 \u00E0 Waltdorf (pr\u00E8s de Nysa, aujourd'hui en Pologne) et mort \u00E0 Sulzburg-Laufen. Il \u00E9tudia \u00E0 l'universit\u00E9 de Hambourg sous la direction d'Otto Schreier et Wilhelm Blaschke. Il fut nomm\u00E9 professeur \u00E0 K\u00F6nigsberg en 1934 puis, jusqu'en 1974, dans nombre d'universit\u00E9s, dont celles de Strasbourg (1943-1945) et de Hambourg (1954-1974)."@fr . . . "1980-03-17"^^ . "Emanuel Sperner"@fr . . "1905-12-09"^^ . . . . . "Emanuel Sperner"@pl . . "Emanuel Sperner (* 9. Dezember 1905 in Waltdorf, Landkreis Neisse, Provinz Schlesien; \u2020 31. Januar 1980 in Laufen, Markgr\u00E4flerland) war ein deutscher Mathematiker, der f\u00FCr zwei nach ihm benannte S\u00E4tze bekannt ist."@de . . "\u039F \u0395\u03BC\u03AC\u03BD\u03BF\u03C5\u03B5\u03BB \u03A3\u03C0\u03AD\u03C1\u03BD\u03B5\u03C1 (\u03B3\u03B5\u03C1\u03BC. Emanuel Sperner, 1905 - 1980) \u03AE\u03C4\u03B1\u03BD \u0393\u03B5\u03C1\u03BC\u03B1\u03BD\u03CC\u03C2 \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03CC\u03C2, \u03B3\u03BD\u03C9\u03C3\u03C4\u03CC\u03C2 \u03B3\u03B9\u03B1 \u03B4\u03CD\u03BF \u03B8\u03B5\u03C9\u03C1\u03AE\u03BC\u03B1\u03C4\u03B1 \u03C0\u03BF\u03C5 \u03BF\u03BD\u03BF\u03BC\u03AC\u03C3\u03C4\u03B7\u03BA\u03B1\u03BD \u03BA\u03B1\u03C4' \u03B1\u03C5\u03C4\u03CC\u03BD."@el . . . . . . . . . . . . "German"@en . . . . . . . . . . . . . "Emanuel Sperner"@de . "Emanuel Sperner"@cs . . . . . . "Emanuel Sperner (Prusinowice, 9 de desembre de 1905 - Laufen (Sulzburg), 31 de gener de 1980) va ser un matem\u00E0tic alemany."@ca . . . . . . . . "Emanuel Sperner (Prusinowice, 9 de desembre de 1905 - Laufen (Sulzburg), 31 de gener de 1980) va ser un matem\u00E0tic alemany."@ca . . . "Emanuel Sperner"@en . . "Emanuel Sperner (9 d\u00E9cembre 1905 - 31 janvier 1980) est un math\u00E9maticien allemand particuli\u00E8rement connu pour son th\u00E9or\u00E8me sur les familles de Sperner et pour le lemme de Sperner. Il est n\u00E9 \u00E0 Waltdorf (pr\u00E8s de Nysa, aujourd'hui en Pologne) et mort \u00E0 Sulzburg-Laufen. Il \u00E9tudia \u00E0 l'universit\u00E9 de Hambourg sous la direction d'Otto Schreier et Wilhelm Blaschke. Il fut nomm\u00E9 professeur \u00E0 K\u00F6nigsberg en 1934 puis, jusqu'en 1974, dans nombre d'universit\u00E9s, dont celles de Strasbourg (1943-1945) et de Hambourg (1954-1974)."@fr . . . . "374404"^^ . "Emanuel Sperner"@en . . . . . . . "Emanuel Sperner (ur. 9 grudnia 1905 w Prusinowicach, zm. 31 stycznia 1980 w ) \u2013 niemiecki matematyk."@pl . "1068141528"^^ . . . .