Packing moebius bands - MathOverflow most recent 30 from http://mathoverflow.net2013-05-18T16:13:14Zhttp://mathoverflow.net/feeds/question/72251http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/72251/packing-moebius-bandsPacking moebius bandsMichal2011-08-06T16:58:56Z2011-08-07T02:45:50Z
<p>I know that in the smooth category the following is true. There are at most countable many embedded moebius bands in euclidean 3-space. Is this also true in topological category? </p>
http://mathoverflow.net/questions/72251/packing-moebius-bands/72271#72271Answer by Gjergji Zaimi for Packing moebius bandsGjergji Zaimi2011-08-07T02:45:50Z2011-08-07T02:45:50Z<p>There are at most countably many disjoint embeddings of homeomorphic images of a non-orientable hypersurface in $\mathbb R^k$. This is theorem 2 in <a href="http://www.springerlink.com/content/k44tq18411324015/" rel="nofollow">"An uncountable family of disjoint spatial continua in Euclidean space"</a> by V.K. Ionin and Yu.G. Nikonorov. </p>