most recent 30 from http://mathoverflow.net 2013-06-19T20:51:57Z http://mathoverflow.net/feeds/question/5618 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/5618/ramified-covers-of-sn Ilya Nikokoshev 2009-11-15T13:20:46Z 2009-11-15T16:32:21Z

<p>This question has been inspired by <a href="http://mathoverflow.net/questions/5546/ramified-covers-of-3-torus" rel="nofollow">covering 3-torus post</a>.</p> <blockquote> <p>Is it true that any good (smooth, compact, oriented) $n$-manifold can be mapped to $S^n$ in such a way that the map is true covering away from codimension 2?</p> </blockquote>

http://mathoverflow.net/questions/5618/ramified-covers-of-sn/5626#5626 Sam Nead 2009-11-15T16:32:21Z 2009-11-15T16:32:21Z

<p>Yes. See Feighn's short <a href="http://dmle.cindoc.csic.es/pdf/COLLECTANEAMATHEMATICA%5F1986%5F37%5F01%5F04.pdf" rel="nofollow">note</a> "Branched covers according to J.W. Alexander". </p>