Arthur Moritz Schoenflies
German mathematician / From Wikipedia, the free encyclopedia
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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.
Arthur Moritz Schoenflies | |
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Born | (1853-04-17)17 April 1853 |
Died | 27 May 1928(1928-05-27) (aged 75) |
Resting place | Frankfurt Main Cemetery |
Alma mater | University of Berlin |
Known for | 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 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.