Packing moebius bands - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-18T16:13:14Z http://mathoverflow.net/feeds/question/72251 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/72251/packing-moebius-bands Packing moebius bands Michal 2011-08-06T16:58:56Z 2011-08-07T02:45:50Z <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#72271 Answer by Gjergji Zaimi for Packing moebius bands Gjergji Zaimi 2011-08-07T02:45:50Z 2011-08-07T02:45:50Z <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>