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 .
2-560: 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 , and was influenced by Felix Klein . The Schoenflies problem is to prove that an ( n − 1 ) {\displaystyle (n-1)} - sphere in Euclidean n -space bounds a topological ball, however embedded . This question
4-540: 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, 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 of Mathematical Sciences : In 1898 he wrote on set theory , in 1902 on kinematics , and on projective geometry in 1910. He
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