Arthur Moritz Schoenflies facts for kids
Quick facts for kids
Arthur Moritz Schoenflies
|Died||27 May 1928
|Alma mater||University of Berlin|
|Known for||Schoenflies problem
|Spouse(s)||Emma Levin (1868–1939)|
|Children||Hanna (1897–1985), Albert (1898–1944), Elizabeth (1900–1991), Eva (1901–1944), Lotte (1905–1981)|
|Fields||Group theory, crystallography, and topology|
|Academic advisors||Ernst Kummer
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 n-space bounds a topological ball, however embedded. This question is much more subtle than it initially appears.
He was a great-uncle of Walter Benjamin.
- Geometrie der Bewegung in synthetischer Darstellung. Teubner, 1886; translated by Charles Speckel as La Géométrie du Mouvement. Exposé synthétique. Gauthier-Villars 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.
Arthur Moritz Schoenflies Facts for Kids. Kiddle Encyclopedia.