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EntityQ124582· pop 14· linked from 38 articles

Beno Eckmann

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Swiss mathematician (1917–2008)

Person · Open Library

Works
5

via Open Library + Wikidata

Music · MusicBrainz

Type
Person

via MusicBrainz · CC0

Quotes

  • We probably all agree that eventually reducing a difficult problem to a "nice" situation is at the heart of mathematics.
  • Together with many other people and after a long development I could prove that a Poincaré duality group of cohomological dimension 2 is the group of a Riemann surface. That was actually a conjecture of Jean-Pierre Serre. "You have to prove it!" he had always insisted.
  • Still another important area is Poincaré duality for groups, invented by Robert Bieri and myself. They behave like manifolds: homology, cohomology, you see, in complementary dimensions, but with another dualizing module. Many groups that are interesting in algebraic geometry, group theory or other areas are such duality groups.

via Wikiquote · CC BY-SA