Heinrich Franz Friedrich Tietze was an Austrian mathematician, born on 31 August 1880 and died on 17 February 1964, famous for the Tietze extension theorem on functions from topological spaces to the real numbers. He also developed the Tietze transformations for group presentations and was the first to pose the group isomorphism problem. Tietze's graph is also named after him. It describes the boundaries of a subdivision of the Mobius strip into six mutually adjacent regions, and Tietze found it as part of an extension of the four color theorem to non-orientable surfaces.
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Source Wikipedia: Lens space
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Source Heinrich Tietze (Wikipedia)
Source Heinrich Tietze (Wikipedia)
Source Heinrich Tietze (Wikipedia)
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Source Tietze Extension Theorem (Wikipedia)
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1. Heinrich Tietze (Wikipedia)
Lead paragraph
He also developed the Tietze transformations for group presenta
Lead paragraph [nationality-culture]
was an Austrian mathematician
In Branch: Topology, Lead paragraph [in-branch]
topological spaces
In Branch: Group Theory, Lead paragraph [in-branch 2]
group presentations
In Branch: Graph Theory, Lead paragraph [in-branch 3]
Tietze's graph
View the SourceWikipedia: Lens space
Attributed Works: Lens Space, Lead paragraphQuote, Attributed Works: Lens Space, Lead paragraph
were introduced by Heinrich Tietze in 1908. They were the first known examples of 3-manifolds which were not determined by their homology and fundamental group
View the Source Tietze Extension Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Tietze Extension Theorem, Lead paragraphQuote, Proofs Credited: Tietze Extension Theorem, Lead paragraph
In topology, the Tietze extension theorem (also known as the Tietze-Urysohn-Brouwer extension theorem or Urysohn-Brouwer lemma) states that any
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