most recent 30 from http://mathoverflow.net 2013-05-25T06:20:34Z http://mathoverflow.net/feeds/question/65230 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/65230/the-fundamental-group-of-mapping-torus Topologiee 2011-05-17T12:59:40Z 2011-05-17T13:51:31Z

<p>Let $f\colon X\to X$ be a homeomorphism between a CW-complex $X$ and iteself.</p> <p>Let $M_f=X\times [0,1]/(x,0)\sim (f(x),1)$, mapping torus of $X$ from $f$.</p> <p>I want to calculate the fundamental group $\pi_1(M_f)$ of $M_f$ in terms of $\pi_1(X)$ and $f_*\colon \pi_1(X)\to \pi_1(X)$.</p> <p>Are there any hint to do this?</p> <p>p.s: This is not the homework problem.</p> <p>This is the crossreference to <a href="http://math.stackexchange.com/questions/39589/fundamental-group-of-mapping-torus" rel="nofollow">this</a>.</p>