Arthur Moritz Schoenflies

Arthur Moritz Schoenflies
Born	April 17, 1853(1853-04-17) Landsberg an der Warthe, Brandenburg, Prussia, Germany
Died	May 27, 1928(1928-05-27) (aged 75) Frankfurt am Main, Hesse-Nassau, Prussia, Germany
Fields	group theory, crystallography, and topology
Alma mater	University of Berlin
Academic advisors	Kummer and Weierstrass
Known for	Schoenflies problem Jordan–Schoenflies theorem Schoenflies notation Schoenflies displacement
Influences	Felix Klein

Arthur Moritz Schoenflies (April 17, 1853 – May 27, 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). He studied under Kummer and Weierstrass, and was influenced by Felix Klein.

The Schoenflies problem is to prove that an (n − 1)-sphere in Euclidean n-space bounds a topological ball, however embedded. This question is much more subtle than initially appears.

He studied at the University of Berlin from 1870-1875. 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.

He was a great-uncle of Walter Benjamin.

See also

• Fyodorov–Schoenflies–Bieberbach theorem
• Jordan–Schoenflies theorem
• Schoenflies notation
• Schoenflies displacement

External links

• O'Connor, John J.; Robertson, Edmund F., "Arthur Moritz Schoenflies", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Schonflies.html .
• Arthur Moritz Schoenflies at the Mathematics Genealogy Project.

Persondata
Name	Schoenflies, Arthur Moritz
Alternative names
Short description
Date of birth	April 17, 1853
Place of birth	Landsberg an der Warthe
Date of death	May 27, 1928
Place of death	Frankfurt am Main, Hesse-Nassau, Prussia, Germany