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
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Source Wikipedia: Menger sponge
In Branch
Source Wikipedia: Karl Menger
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Source Menger's Theorem (Wikipedia)
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Nationality
Also in Geography Atlas: the nationality of this subject.
Also in Geography Atlas: the nationality of this subject.
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1. Wikipedia: Karl Menger
LeadQuote, Lead
In graph theory, he is credited with Menger's theorem.
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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