How to find homology groups of a suspension of a simplicial complex? - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-19T10:53:55Zhttp://mathoverflow.net/feeds/question/64523http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/64523/how-to-find-homology-groups-of-a-suspension-of-a-simplicial-complexHow to find homology groups of a suspension of a simplicial complex?unknown (google)2011-05-10T18:19:14Z2011-05-10T18:19:14Z
<p>The task is to express homology groups of SX through homology groups of X. (X is a simplicial complex)</p>
<p>I don't really understand how to solve the problem.</p>
<p>Every book, where i tried to read the explanation, operates with "reduced homology groups". And the solution is simple -
<code>$H'_k(SX) = H'_{k-1}(X)$</code></p>
<p>But i don't understand, how to move from reduced homology groups to ordinary homology groups.</p>