Emanuel Sperner
German mathematician
Died when: 74 years 53 days (889 months)Star Sign: Sagittarius
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.
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