Mathematician:Hellmuth Kneser

Mathematician

German mathematician, who made notable contributions to group theory and topology.

Derived the theorem on the existence of a prime decomposition for $3$-manifolds.

Originated the concept of a normal surface.

Member of the Nazi party in Germany during the middle of the 20th century.

Nationality

German

History

• Born: 16 April 1898, Dorpat, Russia (now Tartu, Estonia)
• Died: 23 August 1973, Tübingen, Germany

Theorems and Definitions

• Kneser's Lemma
• Radó-Kneser-Choquet Theorem (with Tibor Radó and Gustave Alfred Arthur Choquet)

Results named for Hellmuth Kneser can be found here.

Publications

• 1921: Untersuchungen zur Quantentheorie
• 1950: Eine direkte Ableitung des Zornschen Lemmas aus dem Auswahlaxiom (Math. Z. Vol. 53: pp. 110 – 113)
• 1950: Reelle analytische Lösungen der Gleichung $\map \phi {\map \phi x} = e^x$ und verwandter Funktionalgleichungen (J. reine angew. Math. Vol. 187: pp. 56 – 67)

Sources

• John J. O'Connor and Edmund F. Robertson: "Hellmuth Kneser": MacTutor History of Mathematics archive