User - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T01:36:57Z http://mathoverflow.net/feeds/user/20143 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/84189/ultrafilters-succession ultrafilters' succession unknown (google) 2011-12-23T20:26:25Z 2011-12-23T22:18:35Z <p>hi</p> <p>I'n looking for a increasing and bounded ultrafilters' succession in natural numbers with Rudin-Keisler order, actually I need to prove there is that succession the idea is </p> <p>$U_1,U_2,....$ with $U$ supreme and for all n $U_n &lt; U$ for $h_n$ in Rudin-Keisle order</p> <p>and por all n $U_n &lt; U_{n+1}$ for $g_n$ in Rudin-Keisle order</p> <p>and $h_n(m)= g_{n+1}/ocircle h_{n+1} (m)$ with m a natural number </p> <p>I have no idea how build the $h_n$ funtions</p> <p>thanks, sorry for my awful english </p>