Structured chain complexes IV (Ex)

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Let $C$ be a bounded chain complex over a ring $R$. Show that for large enough $k$ we have
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Let $C$ be a bounded chain complex over a ring $R$. Show that we have
$$ W_{\%}(\Sigma^k C) \simeq 0. $$
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$$ \mathrm{hocolim}_{k \rightarrow \infty} \Sigma^{-k} W_{\%}(\Sigma^k C) \simeq 0. $$
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== References==
== References==

Latest revision as of 12:29, 23 August 2013

Let C be a bounded chain complex over a ring R. Show that we have

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

References

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