most recent 30 from http://mathoverflow.net 2013-06-19T21:38:36Z http://mathoverflow.net/feeds/question/111161 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/111161/nonhomeomorphic-cw-complexes-that-are-stably-homeomorphic Iam 2012-11-01T15:18:23Z 2012-11-01T15:32:55Z

<p>Do there exist CW-complexes $X$ and $Y$ that are not homeomorphic, but $X \times I$ and $Y \times I$ are homeomorphic? Here $I$ denotes the unit interval $[0, 1]$.</p>

http://mathoverflow.net/questions/111161/nonhomeomorphic-cw-complexes-that-are-stably-homeomorphic/111163#111163 Paul 2012-11-01T15:25:36Z 2012-11-01T15:25:36Z

<p>Yes. Take $X$ a punctured torus ($T^2\setminus$open disk) and $Y$ a three-punctured $S^2$. Then $X\times I=Y\times I$ is a genus 2 handlebody.</p>