http://garden.irmacs.sfu.ca/op/values_of_a_multifuncoid_on_atoms Comments for "Values of a multifuncoid on atoms" en http://garden.irmacs.sfu.ca/op/values_of_a_multifuncoid_on_atoms#comment-76118 <p>Earlier I claimed that the conjecture is proved. There was an error in my proof. Now I propose a counter-example.</p> <p>Victor Porton - <a href="http://www.mathematics21.org" title="http://www.mathematics21.org">http://www.mathematics21.org</a></p> Sat, 13 Dec 2014 17:25:38 +0100 porton comment 76118 at http://garden.irmacs.sfu.ca http://garden.irmacs.sfu.ca/op/values_of_a_multifuncoid_on_atoms <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/porton_victor">Porton</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; <img class="teximage" src="/files/tex/20328c795890b2a043f28afc705aecd5679f72d9.png" alt="$ L \in \mathrel{\left[ f \right]} \Rightarrow \mathrel{\left[ f \right]} \cap \prod_{i \in \operatorname{dom} \mathfrak{A}} \operatorname{atoms} L_i \neq \emptyset $" /> for every multifuncoid <img class="teximage" src="/files/tex/43374150a8a220f67049937b9790b7d28eb17fb9.png" alt="$ f $" /> of the form whose elements are atomic posets. </div> </tr></td> </table> </td> </tr> </table> Porton, Victor Topology http://garden.irmacs.sfu.ca/op/values_of_a_multifuncoid_on_atoms#comment Mon, 17 Sep 2012 15:21:56 +0200 porton 37710 at http://garden.irmacs.sfu.ca