Robert Duncan Edwards

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Robert Duncan Edwards (* 1942 in Freeport , Nassau County , New York ) is an American mathematician who studies geometric topology .

Edwards received his PhD in 1969 from James Kister at the University of Michigan ( Homeomorphisms and Isotopies of Topological Manifolds ). From 1970 he was Professor at the University of California, Los Angeles (UCLA), where he has been Professor Emeritus since 2006. In 1976/77 he was at the Institute for Advanced Study in Princeton . He is a fellow of the American Mathematical Society .

In the 1970s, his work played a major role in proving the presumption of double suspension , that the double suspension of every n homology sphere is an (n + 2) sphere. Edwards proved that the k-fold suspension of the n-homology sphere is the (n + k) -sphere for (n + k) greater than or equal to 6. The problem was one of a list of seven important topological problems published by John Milnor in 1963 .

In 1975 he became a Sloan Research Fellow . In 1978 he gave a plenary lecture at the International Congress of Mathematicians (ICM) in Helsinki (The topology of manifolds and cell like maps).

Web links

Individual evidence

  1. ↑ Robert Duncan Edwards in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ The general case was proven by JW Cameron, Annals of Mathematics, Vol. 110, 1979, pp. 83-112
  3. ↑ The work was only published electronically in the 2000s and was previously in circulation as a manuscript: Suspension of homology spheres , Other important works by Edwards were also only circulated as a manuscript and were later published electronically: Approximating cell like maps by homeomorphisms, Topological regular neighborhoods
  4. ↑ four of them were solved by Robion Kirby , also at UCLA, and Laurent Siebenmann by the early 1970s
personal data
SURNAME Edwards, Robert Duncan
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1942
PLACE OF BIRTH Freeport , New York