most recent 30 from http://mathoverflow.net 2013-05-22T14:49:10Z http://mathoverflow.net/feeds/user/6713 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/23478/examples-of-common-false-beliefs-in-mathematics/27635#27635 shmuel weinberger 2010-06-10T02:56:25Z 2010-06-10T02:56:25Z

<p>I and several of my friends made our living off exploiting the fact that a space doesn't really have just one universal cover. </p> <p>It has one at each basepoint. If the space is decent and connected, then these are all isomorphic, but the isomorphism requires a choice of a path connecting the points. You can clearly see the point if you make a bundle of universal covers over a moebius strip.</p>