Friedhelm Waldhausen

Source: Wikipedia, the free encyclopedia.
Friedhelm Waldhausen
Born
Waldhausen S-construction
Scientific career
FieldsMathematics
InstitutionsBielefeld University

Friedhelm Waldhausen (born 1938 in

3-manifolds and (algebraic) K-theory
.

Career

Waldhausen studied mathematics at the universities of

Ph.D. in 1966 from the University of Bonn; his advisor was Friedrich Hirzebruch and his thesis was entitled "Eine Klasse von 3-dimensionalen Mannigfaltigkeiten" (A class of 3-dimensional manifolds).[1]

After visits to

University of Kiel
, where he completed his habilitation (qualified to assume a professorship).

In 1969, he was appointed professor at the Ruhr University Bochum before in 1971 becoming a professor at Bielefeld University, an appointment he held until his retirement in 2004.[2][3]

Academic work

His early work was mainly on the theory of 3-manifolds. He dealt mainly with Haken manifolds and Heegaard splitting. Among other things, he proved that, roughly speaking, any homotopy equivalence of Haken manifolds is homotopic to a homeomorphism, i.e. that closed Haken manifolds are topologically rigid. He put forward the Waldhausen conjecture about Heegaard splitting.

In the mid-seventies, he extended the connection between geometric topology and

ring spectra
.

Recognition

Today, Waldhausen is seen, together with

Universität Osnabrück.[4]

Important publications

Algebraic -theory of spaces, Algebraic and geometric topology (New Brunswick, N.J., 1983), 318–419, Lecture Notes in Math., 1126, Springer, Berlin, 1985.

Algebraic -theory of spaces, concordance, and stable homotopy theory, Algebraic topology and algebraic -theory (Princeton, N.J., 1983), 392–417, Ann. of Math. Stud., 113, Princeton Univ. Press, Princeton, NJ, 1987.

(with Marcel Bökstedt) The map , Algebraic topology and algebraic -theory (Princeton, N.J., 1983), 418–431, Ann. of Math. Stud., 113, Princeton Univ. Press, Princeton, NJ, 1987.

See also

References

  1. ^ Friedhelm Waldhausen at the Mathematics Genealogy Project
  2. doi:10.1007/978-3-658-14757-0_16
    .
  3. ^ "PEVZ: Fakultät für Mathematik / Emeriti / Professorinnen und Professoren im Ruhestand". Kontakt (Universität Bielefeld) (in German). Retrieved 17 December 2021.
  4. ^ Honorary doctorate Osnabrück

External links

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