http://www.openproblemgarden.org/op/micronization_of_partial_orders Comments for "Micronization of partial orders" en http://www.openproblemgarden.org/op/micronization_of_partial_orders <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/e7ce12b8380b4e62d2cea2ec416e7c59104c833c.png" alt="$ S^{\ast}(\mu(E)) = E $" /> for every partial order <img class="teximage" src="/files/tex/aedbef97f3db174b677f00be580a095e7fefa310.png" alt="$ E $" />. </div> <p>The function <img class="teximage" src="/files/tex/a9fa5fcb6b0ac9d7165f76bae9844e9b36d03d64.png" alt="$ S^\ast $" /> and micronization <img class="teximage" src="/files/tex/12e00f6f7e80e7b1fd1b89a31a7e0abe4c1b1302.png" alt="$ \mu $" /> are defined in <a href="http://www.mathematics21.org/binaries/volume-1.pdf">my research monograph</a>.</p> <p>There is an easy proof of this conjecture in new version of <a href="http://www.mathematics21.org/binaries/volume-1.pdf">my book</a>.</p> </tr></td> </table> </td> </tr> </table> Porton, Victor micronization partial order Topology http://www.openproblemgarden.org/op/micronization_of_partial_orders#comment Fri, 28 Oct 2016 17:31:38 +0200 porton 60021 at http://www.openproblemgarden.org