"homotopy sphere" assumption in Poincare Conjecture - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T05:23:09Z http://mathoverflow.net/feeds/question/76226 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/76226/homotopy-sphere-assumption-in-poincare-conjecture "homotopy sphere" assumption in Poincare Conjecture unknown (google) 2011-09-23T18:12:46Z 2011-09-24T00:31:35Z <p>For 3-dim Poincare Conjecture, the assumption is 'simply connected'. I am wondering whether simply connectedness assumption in 3-dim implies the same homotopy groups as the 3-sphere?</p> <p>or If we switch the assumption of 'simply connected' to 'homotopy 3-sphere', would it be easier to proof Poincare Conjecuture.</p> http://mathoverflow.net/questions/76226/homotopy-sphere-assumption-in-poincare-conjecture/76229#76229 Answer by Igor Rivin for "homotopy sphere" assumption in Poincare Conjecture Igor Rivin 2011-09-23T19:21:08Z 2011-09-23T19:21:08Z <p>See the fifth paragraph of </p> <p><a href="http://www.math.cornell.edu/~hatcher/Papers/3Msurvey.pdf" rel="nofollow">http://www.math.cornell.edu/~hatcher/Papers/3Msurvey.pdf</a></p>