Karl Menger was an Austrian-born American mathematician, the son of the economist Carl Menger. He studied the theory of algebras, dimension theory and topology, and in graph theory he is credited with Menger's theorem. He was a student of Hans Hahn, took his doctorate at the University of Vienna in 1924, took part in the Vienna Circle, and later taught at the University of Notre Dame and the Illinois Institute of Technology. His most famous popular contribution is the Menger sponge, a three-dimensional version of the Sierpiński carpet, and he is considered a founder of distance geometry.
Facts
Connections
Attributed Works
Source Wikipedia: Menger sponge
In Branch
Source Wikipedia: Karl Menger
Mentored
Source Witold Hurewicz (Wikipedia)
Principal Result
Source Wikipedia: Karl Menger
Source Wikipedia: Karl Menger
Proofs Credited
Source Menger's Theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Also in Geography Atlas: the nationality of this subject.
Sources
1. Wikipedia: Karl Menger
Lead
In graph theory, he is credited with Menger's theorem.
Principal Result: Menger's Theorem, Article text
In graph theory, he is credited with Menger's theorem.
Principal Result: Menger Sponge, Article text
His most famous popular contribution was the Menger sponge (mistakenly known as Sierpinski's sponge), a three-dimensional version of the Sierpiński carpet.
View the Source2. MacTutor History of Mathematics, University of St Andrews: Karl Menger
MacTutor History of Mathematics, University of St AndrewsQuick Info: BornQuote, Quick Info: Born
13 January 1902
Witold Hurewicz (Wikipedia)
Mentored: Witold Hurewicz, Early life, doctorateQuote, Mentored: Witold Hurewicz, Early life, doctorate
He studied under Hans Hahn and Karl Menger in Vienna
Wikipedia: Menger sponge
Attributed Works: Menger Sponge, Lead sentence, attributionQuote, Attributed Works: Menger Sponge, Lead sentence, attribution
first described by Karl Menger in 1926
Menger's Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Menger's Theorem, LeadQuote, Proofs Credited: Menger's Theorem, Lead
Proved by Karl Menger in 1927, it characterizes the connectivity of a graph.
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