http://openproblemgarden.org/op/kneser_poulsen_conjecture Comments for "Kneser–Poulsen conjecture" en http://openproblemgarden.org/op/kneser_poulsen_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/kneser_m">Kneser</a>; <a href="/category/poulsen_e_t">Poulsen</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/geometry">Geometry</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 finite set of unit balls in <img class="teximage" src="/files/tex/2010c953180b3521ec2f66d10e1f40ec71d44574.png" alt="$ \mathbb{R}^n $" /> is rearranged so that the distance between each pair of centers does not decrease, then the volume of the union of the balls does not decrease. </div> </tr></td> </table> </td> </tr> </table> Kneser, M. Poulsen, E. T. pushing disks Geometry http://openproblemgarden.org/op/kneser_poulsen_conjecture#comment Thu, 25 Sep 2008 02:31:45 +0200 tchow 2089 at http://openproblemgarden.org