Beno Eckmann

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.”

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Wikidata facts

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ETH-BIB-Eckmann, Beno (1917-2008)-Portr 12125.tif

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