Schoenflies problem Jordan–Schoenflies theorem Schoenflies notation Schoenflies displacement
Spouse
Emma Levin (1868–1939)
Children
Hanna (1897–1985), Albert (1898–1944), Elizabeth (1900–1991), Eva (1901–1944), Lotte (1905–1981)
Scientific career
Fields
Group theory, crystallography, and topology
Thesis
Synthetisch-geometrische Untersuchungen über Flächen zweiten Grades und eine aus ihnen abgeleitete Regelfläche (1877)
Doctoral advisors
Ernst Kummer Karl Weierstrass
Schoenflies' grave at the Frankfurt Main Cemetery
Arthur Moritz Schoenflies (German:[ˈʃøːnfliːs]; 17 April 1853 – 27 May 1928), sometimes written as Schönflies, was a German mathematician, known for his contributions to the application of group theory to crystallography, and for work in topology.
Schoenflies was born in Landsberg an der Warthe (modern Gorzów, Poland). Arthur Schoenflies married Emma Levin (1868–1939) in 1896. He studied under Ernst Kummer and Karl Weierstrass,[1] and was influenced by Felix Klein.
The Schoenflies problem is to prove that an -sphere in Euclidean n-space bounds a topological ball, however embedded. This question is much more subtle than it initially appears.
He studied at the University of Berlin from 1870 to 1875. He obtained a doctorate in 1877,[1] and in 1878 he was a teacher at a school in Berlin. In 1880, he went to Colmar to teach.
Schoenflies was a frequent contributor to Klein's encyclopedia: In 1898 he wrote on set theory, in 1902 on kinematics, and on projective geometry in 1910.
He was a great-uncle of Walter Benjamin.
^ abArthur Moritz Schoenflies at the Mathematics Genealogy Project
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Hans von Mangoldt 1920: Robert Fricke 1921: Edmund Landau 1922: ArthurMoritzSchoenflies 1923: Erich Hecke 1924: Otto Blumenthal 1925: Heinrich Tietze...
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indecomposable continuum that disproved a conjecture made by ArthurMoritzSchoenflies that, if X 1 {\displaystyle X_{1}} and X 2 {\displaystyle X_{2}}...
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