{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Courier New;}} {\*\generator Msftedit 5.41.15.1507;}\viewkind4\uc1\pard\f0\fs20 Subject: Re:Question\par From: adel george \par Date: Wed, 8 Dec 2004 06:15:18 -0800 (PST)\par \par From:Dr.George,Adel A.\par \par I have the following question,please post it:\par Let X(i) be an inverse system of contractible\par topological spaces where for j>i the map X(j)--->X(i)\par is a continuous surjection with contractible fibers.I\par wish to show that X(= the inverse limit of the X(i))\par is nonempty?\par \par Are there some set theoretic conditions that\par insure that an inverse limit is non-empty other than\par the familiar 2 conditions stated in Bourbaki "Set\par Theory"?\par Thank you. \par }