| 词条 | Friedhelm Waldhausen |
| 释义 |
Friedhelm Waldhausen (born 1938 in Millich, Hückelhoven, Rhine Province) is a German mathematician known for his work in algebraic topology. Academic lifeWaldhausen studied mathematics at the universities of Göttingen, Munich and Bonn. He obtained his Ph.D. in 1966 with "Eine Klasse von 3-dimensionalen Mannigfaltigkeiten" (A class of 3-dimensional manifolds) from the University of Bonn; his advisor was Friedrich Hirzebruch.[1] After visits to Princeton University, the University of Illinois and the University of Michigan he moved in 1968 to the University of Kiel, where he habilitated (qualified to assume a professorship). In 1969, he was professor at the Ruhr University Bochum before in 1970 becoming a professor of mathematics at the Bielefeld University, an appointment he held until his retirement in 2004. PublicationsHis 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 algebraic K-theory by introducing a kind of algebraic K-theory for topological spaces. This led to new foundations for algebraic K-theory (using what are now called Waldhausen categories) and also gave new impetus to the study of highly structured ring spectra. Articles: Algebraic K-Theory of Topological Spaces I (1976) and Algebraic K-theory of spaces (1983). HonorsAmong others, he was awarded the von Staudt Prize in 2004 along with Günter Harder, and an honorary doctorate from the Universität Osnabrück. See also
References1. ^{{MathGenealogy|24057}} {{Authority control}}{{DEFAULTSORT:Waldhausen, Friedhelm}} 9 : 1938 births|Living people|People from Hückelhoven|People from the Rhine Province|German mathematicians|University of Michigan staff|Topologists|Bielefeld University faculty|Ruhr University Bochum faculty |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。