Arthur Moritz Schoenflies facts for kids
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Arthur Moritz Schoenflies



Born  Landsberg an der Warthe, Brandenburg, Prussia

17 April 1853
Died  27 May 1928 Frankfurt am Main, HesseNassau, Germany

(aged 75)
Alma mater  University of Berlin 
Known for  Schoenflies problem Jordan–Schoenflies theorem Schoenflies notation Schoenflies displacement 
Spouse(s)  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 
Academic advisors  Ernst Kummer Karl Weierstrass 
Influences  Felix Klein 
Arthur Moritz Schoenflies ( 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, whose sister, the writer Julie, was married to the publisher and docktor Julius Levin. He studied under Ernst Kummer and Karl Weierstrass, and was influenced by Felix Klein.
The Schoenflies problem is to prove that an sphere in Euclidean nspace 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, 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 greatuncle of Walter Benjamin.
Selected works
 Geometrie der Bewegung in synthetischer Darstellung. Teubner, 1886; translated by Charles Speckel as La Géométrie du Mouvement. Exposé synthétique. GauthierVillars 1893
 Einführung in die mathematische Behandlung der Naturwissenschaft. 1st edition, Dr. E. Wolff, 1895; 2nd editions 1931 (with Walther Nernst)
 Entwicklung der Mengenlehre und ihrer Anwendungen. Teubner, 1913 (with Hans Hahn).
 Kristallsysteme und Kristallstruktur, Teubner 1891
 Theorie der Kristallstruktur. Ein Lehrbuch. Gebr. Borntraeger, 1923.
 Einführung in die Hauptgesetze der zeichnerischen Darstellungsmethoden, Teubner 1908, Project Gutenberg ebook
 Articles: Mengenlehre (1898), Projektive Geometrie (1909), Kinematik (1902), Kristallographie (with Theodor Liebisch, Otto Mügge), in Klein's encyclopedia.