Structured chain complexes IV (Ex)

Let $C$$<wikitex>; Let $C$ be a bounded chain complex over a ring $R$. Show that we have $$ \mathrm{hocolim}_{k \rightarrow \infty} \Sigma^{-k} W_{\%}(\Sigma^k C) \simeq 0. $$ </wikitex> == References== {{#RefList:}} [[Category:Exercises]] [[Category:Exercises without solution]]C$ be a bounded chain complex over a ring $R$$R$. Show that we have

$\displaystyle \mathrm{hocolim}_{k \rightarrow \infty} \Sigma^{-k} W_{\%}(\Sigma^k C) \simeq 0.$ $$\displaystyle \mathrm{hocolim}_{k \rightarrow \infty} \Sigma^{-k} W_{\%}(\Sigma^k C) \simeq 0.$$