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# Arthur Moritz Schönflies

Arthur Moritz Schönflies (April 17, 1853 – May 27, 1928) was a German mathematician, known for his contributions to the application of group theory to crystallography, and for work in topology.

Schönflies was born in Landsberg an der Warthe (modern Gorzów, Poland). He studied under Kummer and Weierstrass, and was influenced by Felix Klein.

The Schönflies 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

* Jordan-Schönflies theorem

* Schönflies symbol

* Schönflies displacement

External links

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

* Arthur Moritz Schönflies at the Mathematics Genealogy Project

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