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Friedhelm Waldhausen information


Friedhelm Waldhausen
Born
Hückelhoven, Germany
Alma materUniversity of Bonn
Known forWaldhausen S-construction
Scientific career
FieldsMathematics
InstitutionsBielefeld University

Friedhelm Waldhausen (born 1938 in Millich, Hückelhoven, Rhine Province) is a German mathematician known for his work in algebraic topology. He made fundamental contributions in the fields of 3-manifolds and (algebraic) K-theory.

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Friedhelm Waldhausen

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Friedhelm Waldhausen (born 1938 in Millich, Hückelhoven, Rhine Province) is a German mathematician known for his work in algebraic topology. He made fundamental...

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Friedhelm

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1956), Namibian sport shooter Friedhelm Schütte (born 1957), former professional German footballer Friedhelm Waldhausen (born 1938), German mathematician...

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Waldhausen category

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spectrum of C using a so-called S-construction. It's named after Friedhelm Waldhausen, who introduced this notion (under the term category with cofibrations...

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Graph manifold

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bundles. They were discovered and classified by the German topologist Friedhelm Waldhausen in 1967. This definition allows a very convenient combinatorial description...

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Friedrich Hirzebruch

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Erich Ossa, Klaus Lamotke, Eduardo Mendoza, Dimitrios Dais and Friedhelm Waldhausen.[citation needed] Hirzebruch died at the age of 84 on 27 May 2012...

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Haken manifold

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homeomorphic or not. His outline was filled in by substantive efforts by Friedhelm Waldhausen, Klaus Johannson, Geoffrey Hemion, Sergeĭ Matveev, et al. Since there...

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Rank of a group

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Texts in Mathematics 80 (Springer-Verlag, 1996). ISBN 0-387-94461-3 Friedhelm Waldhausen. Some problems on 3-manifolds. Algebraic and geometric topology (Proc...

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Surface subgroup conjecture

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In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3-manifold with...

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Virtually Haken conjecture

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hyperbolic 3-manifolds. The conjecture is usually attributed to Friedhelm Waldhausen in a paper from 1968, although he did not formally state it. This...

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Daniel Quillen

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Quillen determinant line bundle and the Mathai–Quillen formalism. Friedhelm Waldhausen Scholia has a profile for Daniel Quillen (Q369658). Quillen, Daniel...

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Smith conjecture

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(Eilenberg 1949, Problem 36) if the fixed point set could be knotted. Friedhelm Waldhausen (1969) proved the Smith conjecture for the special case of diffeomorphisms...

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List of German mathematicians

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Viehmann Eckart Viehweg Vitello Kurt Vogel Klaus Wagner Manfred Wagner Friedhelm Waldhausen Marion Walter Friedrich Heinrich Albert Wangerin Eduard Ritter von...

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Heegaard splitting

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studied extensively by mathematicians such as Wolfgang Haken and Friedhelm Waldhausen in the 1960s, it was not until a few decades later that the field...

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Loop theorem

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version of the loop theorem. This was essentially done 30 years ago by Friedhelm Waldhausen as part of his solution to the word problem for Haken manifolds;...

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History of knot theory

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determining if two given knots are equivalent or not. In the early 1970s, Friedhelm Waldhausen announced the completion of Haken's program based on his results...

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Timeline of manifolds

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simply connected, compact 5-manifolds, started by Smale in 1962. 1967 Friedhelm Waldhausen Defines and classifies 3-dimensional graph manifolds. 1968 Robion...

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Warstein

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called Stimm Stamm; the lowest elevation is 216 m (709 ft) in the village Waldhausen in the north. The following municipalities, some with town status, border...

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Knot invariant

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the original on November 19, 2022. Retrieved November 19, 2022. Waldhausen, Friedhelm (1968). "On Irreducible 3-Manifolds Which are Sufficiently Large"...

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Peripheral subgroup

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Related Topics", Prentice-Hall, NJ, 1961, pp. 120–167. MR0140099 Waldhausen, Friedhelm (1968), "On irreducible 3-manifolds which are sufficiently large"...

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