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What is the biggest unsolved problem in topology

  1. Feb 22, 2008 #1
    What is the biggest unsolved problem in topology
     
    Last edited by a moderator: Mar 8, 2013
  2. jcsd
  3. Feb 23, 2008 #2

    CRGreathouse

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    The Poincaré conjecture for differentiable 4-manifolds? (As opposed to the Poincaré conjecture for 3-manifolds, which Perelman solved.)
     
  4. Feb 23, 2008 #3
    Could you explain the Poincaré for 4-manifolds? Is it harder to prove than 3-manifolds?
     
  5. Feb 23, 2008 #4

    mathwonk

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    wasnt that proved by freedman in around 1980?
     
  6. Feb 24, 2008 #5

    CRGreathouse

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    Friedman showed it for topological 4-manifolds in 1982, but the case of differentiable 4-manifolds is still open as far as I know.

    And I really don't know much about topology, I was just throwing out an answer.
     
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