Abstract

We show that the theory of motivic complexes developed by Voevodsky over perfect fields works over nonperfect fields as well provided that we work with sheaves with transfers of $\mathbb{Z}\left[1∕p\right]$-modules ($p=charF$). In particular we show that every homotopy invariant sheaf with transfers of $\mathbb{Z}\left[1∕p\right]$-modules is strictly homotopy invariant.

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Mathematical Subject Classification 2010

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