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About: Poul Heegaard     Goto   Sponge   NotDistinct   Permalink

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Poul Heegaard (Danish: [ˈhe̝ˀˌkɒˀ]; November 2, 1871, Copenhagen - February 7, 1948, Oslo) was a Danish mathematician active in the field of topology. His 1898 thesis introduced a concept now called the Heegaard splitting of a 3-manifold. Heegaard's ideas allowed him to make a careful critique of work of Henri Poincaré. Poincaré had overlooked the possibility of the appearance of torsion in the homology groups of a space. He later co-authored, with Max Dehn, a foundational article on combinatorial topology, in the form of an encyclopedia entry.