Georg Nöbeling
Encyclopedia
Georg August Nöbeling was a German
mathematician
.
Born and raised in Lüdenscheid
, Nöbeling studied mathematics
and physics
in Göttingen and Vienna
where he was a student of Karl Menger
and received his PhD in 1931 on a generalization of the embedding theorem
, which for one special case can be visualized by the Menger sponge
. Nöbeling worked and researched in Menger's Mathematical Colloquium with Kurt Gödel
, Franz Alt
, Abraham Wald
, Olga Taussky-Todd and others.
In 1933, he moved to Erlangen
where he obtained a professorship at the University of Erlangen in 1940. His work focused on analysis
, topology
, and geometry
. 1968/1969 he solved Specker's theorem on Abelian group
s.
As Rector (1962-1963) of the University of Erlangen he oversaw the merge with the business college in Nuremberg
. He also served twice as the chairman of the German Mathematical Society
and is a member of the Bavarian Academy of Sciences and Humanities
. He celebrated his 100th birthday in 2007.
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
Born and raised in Lüdenscheid
Lüdenscheid
Lüdenscheid is a town in the Märkischer Kreis district, in North Rhine-Westphalia, Germany. It is located in the Sauerland region. Lüdenscheid is seat of the administration of the Märkischer Kreis district...
, Nöbeling studied mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
in Göttingen and Vienna
University of Vienna
The University of Vienna is a public university located in Vienna, Austria. It was founded by Duke Rudolph IV in 1365 and is the oldest university in the German-speaking world...
where he was a student of Karl Menger
Karl Menger
Karl Menger was a mathematician. He was the son of the famous economist Carl Menger. He is credited with Menger's theorem. He worked on mathematics of algebras, algebra of geometries, curve and dimension theory, etc...
and received his PhD in 1931 on a generalization of the embedding theorem
Inductive dimension
In the mathematical field of topology, the inductive dimension of a topological space X is either of two values, the small inductive dimension ind or the large inductive dimension Ind...
, which for one special case can be visualized by the Menger sponge
Menger sponge
In mathematics, the Menger sponge is a fractal curve. It is a universal curve, in that it has topological dimension one, and any other curve is homeomorphic to some subset of it. It is sometimes called the Menger-Sierpinski sponge or the Sierpinski sponge...
. Nöbeling worked and researched in Menger's Mathematical Colloquium with Kurt Gödel
Kurt Gödel
Kurt Friedrich Gödel was an Austrian logician, mathematician and philosopher. Later in his life he emigrated to the United States to escape the effects of World War II. One of the most significant logicians of all time, Gödel made an immense impact upon scientific and philosophical thinking in the...
, Franz Alt
Franz Alt (mathematician)
Franz Leopold Alt was an Austrian-born American mathematician who made major contributions to computer science in its early days...
, Abraham Wald
Abraham Wald
- See also :* Sequential probability ratio test * Wald distribution* Wald–Wolfowitz runs test...
, Olga Taussky-Todd and others.
In 1933, he moved to Erlangen
Erlangen
Erlangen is a Middle Franconian city in Bavaria, Germany. It is located at the confluence of the river Regnitz and its large tributary, the Untere Schwabach.Erlangen has more than 100,000 inhabitants....
where he obtained a professorship at the University of Erlangen in 1940. His work focused on analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
, topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, and geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
. 1968/1969 he solved Specker's theorem on Abelian group
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on their order . Abelian groups generalize the arithmetic of addition of integers...
s.
As Rector (1962-1963) of the University of Erlangen he oversaw the merge with the business college in Nuremberg
Nuremberg
Nuremberg[p] is a city in the German state of Bavaria, in the administrative region of Middle Franconia. Situated on the Pegnitz river and the Rhine–Main–Danube Canal, it is located about north of Munich and is Franconia's largest city. The population is 505,664...
. He also served twice as the chairman of the German Mathematical Society
German Mathematical Society
The German Mathematical Society is the main professional society of German mathematicians.The society was founded on 18 September 1890.Georg Cantor was one of the founders and in his honor the society awards the Cantor medal.-External links:*...
and is a member of the Bavarian Academy of Sciences and Humanities
Bavarian Academy of Sciences and Humanities
The Bavarian Academy of Sciences and Humanities is an independent public institution, located in Munich. It appoints scholars whose research has contributed considerably to the increase of knowledge within their subject...
. He celebrated his 100th birthday in 2007.
Publications (selected)
- Georg Nöbeling: "Über eine n-dimensionale Universalmenge im
(on a n-dimensional universal set for metric spaces in 
." Mathematische Annalen 104 (1931), pp. 71–80. - Georg Nöbeling: "Verallgemeinerung eines Satzes von E. Specker (Generalization of a Theorem by E. Specker)". Inventiones mathematicae 6 (1968), pp. 41–55.