Open Problem Garden - Smooth 4-dimensional Poincare conjecture - Comments http://openproblemgarden.org/op/smooth_4_dimensional_poincare_conjecture Comments for "Smooth 4-dimensional Poincare conjecture" en Poincare conj is true in some dimensions > 7. (re: Smooth 4-dimensional Poincare conjecture) http://openproblemgarden.org/op/smooth_4_dimensional_poincare_conjecture#comment-93670 <p>For n equals 12, 56 and 61, Sn also has a unique smooth structure. </p> Thu, 26 Aug 2021 00:24:03 +0200 Anonymous comment 93670 at http://openproblemgarden.org Smooth 4-dimensional Poincare conjecture http://openproblemgarden.org/op/smooth_4_dimensional_poincare_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/poincare_0">Poincare</a>; <a href="/category/smale">Smale</a>; <a href="/category/stallings">Stallings</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/topology">Topology</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; If a <img class="teximage" src="/files/tex/1f1498726bb4b7754ca36de46c0ccdd09136d115.png" alt="$ 4 $" />-manifold has the homotopy type of the <img class="teximage" src="/files/tex/1f1498726bb4b7754ca36de46c0ccdd09136d115.png" alt="$ 4 $" />-sphere <img class="teximage" src="/files/tex/8973308b8ba6ed78524b0e4751ab814bbaaa57e2.png" alt="$ S^4 $" />, is it diffeomorphic to <img class="teximage" src="/files/tex/8973308b8ba6ed78524b0e4751ab814bbaaa57e2.png" alt="$ S^4 $" />? </p> </div> </tr></td> </table> </td> </tr> </table> Poincare Smale Stallings 4-manifold poincare sphere Topology http://openproblemgarden.org/op/smooth_4_dimensional_poincare_conjecture#comment Fri, 06 Nov 2009 22:59:21 +0100 rybu 37125 at http://openproblemgarden.org