Karl Menger

Karl Menger
Born(1902-01-13)January 13, 1902
DiedOctober 5, 1985(1985-10-05) (aged 83)
NationalityAustrian
Alma materUniversity of Vienna (PhD, 1924)
Known forMenger characterization theorem
Menger curvature
Menger space
Menger sponge
Menger's theorem
Menger–Nöbeling theorem
Cayley–Menger determinant
Scientific career
FieldsMathematics
InstitutionsIllinois Institute of Technology
University of Notre Dame
University of Vienna
Thesis Über die Dimensionalität von Punktmengen  (1924)
Doctoral advisorHans Hahn
Doctoral studentsAbraham 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.


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