Illinois Institute of Technology University of Notre Dame University of Vienna
Thesis
Über die Dimensionalität von Punktmengen (1924)
Doctoral advisor
Hans Hahn
Doctoral students
Abraham Wald Witold Hurewicz Georg Nöbeling
Karl Menger (January 13, 1902 – October 5, 1985) was an Austrian–American mathematician, the son of the economist Carl Menger. In mathematics, Menger studied the theory of algebras and the dimension theory of low-regularity ("rough") curves and regions; in graph theory, he is credited with Menger's theorem. Outside of mathematics, Menger has substantial contributions to game theory and social sciences.
KarlMenger (January 13, 1902 – October 5, 1985) was an Austrian–American mathematician, the son of the economist Carl Menger. In mathematics, Menger...
was first described by KarlMenger in 1926, in his studies of the concept of topological dimension. The construction of a Menger sponge can be described...
had two brothers, Anton and Max, both prominent as lawyers. His son, KarlMenger, was a mathematician who taught for many years at Illinois Institute...
Cayley, followed by more extensive developments in the 20th century by KarlMenger and others. Distance geometry problems arise whenever one needs to infer...
three points. It is named after the Austrian-American mathematician KarlMenger. Let x, y and z be three points in Rn; for simplicity, assume for the...
define normed vector spaces. The name taxicab geometry was introduced by KarlMenger in a 1952 booklet You Will Like Geometry, accompanying a geometry exhibit...
have met extraterrestrials KarlMenger (1902–1985), Austrian-born mathematician and son of economist Carl Menger Kirsten Menger-Anderson (born 1969), American...
general spaces". General Topology and Appl. 1 (3): 209–221. MR 0288741. KarlMenger, General Spaces and Cartesian Spaces, (1926) Communications to the Amsterdam...
graduated in 1931 with a Ph.D. in mathematics. His advisor there was KarlMenger. Despite Wald's brilliance, he could not obtain a university position...
go to Vienna to continue his studies. He studied under Hans Hahn and KarlMenger in Vienna, receiving a PhD in 1926. Hurewicz was awarded a Rockefeller...
included Gottfried Haberler, Friedrich Hayek, Fritz Machlup, KarlMenger (son of Carl Menger), Oskar Morgenstern, Paul Rosenstein-Rodan, Abraham Wald, and...
Charles F. Roos, Joseph A. Schumpeter, Harold Hotelling, Henry Schultz, KarlMenger, Edwin B. Wilson, Frederick C. Mills, William F. Ogburn, J. Harvey Rogers...
mathematicians during the 1930s in Vienna and at Harvard, notably by KarlMenger, who defines the problem, considers the obvious brute-force algorithm...
dimension 2 n + 1 {\displaystyle 2n+1} . (Georg Nöbeling was a student of KarlMenger. He introduced Nöbeling space, the subspace of R 2 n + 1 {\displaystyle...
Vienna Circle. He co-edited the mathematical works of Hans Hahn and KarlMenger and organised in 2001 an exhibition on the exodus of Austrian mathematicians...
(Mach number) Lise Meitner, physicist KarlMenger, mathematician (Menger's theorem, Menger sponge); son of Carl Menger) Ronald Micura, chemist Richard von...
category in the annual Intel Science Talent Search, also winning the KarlMenger Memorial Prize of the American Mathematical Society for his project....
point-free definition of the concept of topological space in mathematics was KarlMenger in his book Dimensionstheorie (1928) -- see also his (1940). The early...
{F}}_{1}\cup {\mathcal {F}}_{2}\cup \cdots } covers the space. In 1924, KarlMenger introduced the following basis property for metric spaces: Every basis...
(1902–2002), Australian economist and public servant Carl Menger (1840–1921), Austrian economist KarlMenger (1902–1985), Austrian/American mathematician Stanislav...
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