most recent 30 from http://mathoverflow.net 2013-05-18T21:47:33Z http://mathoverflow.net/feeds/question/112373 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/112373/anr-subsets-of-banach-spaces Nicolas Boerger 2012-11-14T10:41:12Z 2013-01-21T00:34:09Z

<p>I need a reference for conditions on a closed subspace of a Banach space to have the homotopy type of an ANR. </p>

http://mathoverflow.net/questions/112373/anr-subsets-of-banach-spaces/112684#112684 Tim Porter 2012-11-17T14:49:24Z 2012-11-17T14:49:24Z

<p>You could try Karol Borsuk's Theory of Retracts. There is extensive discussion of ANRs. Further related conditions can be found in shape theory (work in the 1970s by Edwards and Geoghegan) but that requires a knowledge of shape theoretic ideas. (That is why I asked what sort of conditions you were looking for as this is taking you away from the central area of Banach spaces).</p>

http://mathoverflow.net/questions/112373/anr-subsets-of-banach-spaces/119435#119435 Wlodzimierz Holsztynski 2013-01-21T00:34:09Z 2013-01-21T00:34:09Z

<p>(By <em>subspace</em> you mean <em>topological subspace</em>, right?).</p> <p>You may try papers by Henryk Toruńczyk (and his students).</p>