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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.

— Beno Eckmann An Interview with Beno Eckmann (2010)

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We probably all agree that eventually reducing a difficult problem to a "nice" situation is at the heart of mathematics.

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Quote text and notes from Wikiquote: Beno Eckmann (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.