User - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T19:00:13Z http://mathoverflow.net/feeds/user/10997 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/46936/is-a-map-a-homotopy-equivalence-if-its-suspension-is-so Is a map a homotopy equivalence if its suspension is so? emmet2 2010-11-22T12:12:49Z 2013-04-17T02:50:24Z <p>Exist simply connected CW complexes $X$, $Y$ and a mapping $f:X\to Y$ with the property that the reduced suspension $\Sigma f:\Sigma X\to\Sigma Y$ is a homotopy equivalence but $f$ is not?</p>