Brown representability in $\A^1$-homotopy theory

Details Brown representability in $\A^1$-homotopy theory Brown representability in $\A^1$-homotopy theory

2009-09-10

arxiv.org/abs/0909.1943v1

Mathematics

Algebraic Geometry

Scientific paper

We prove the following result of V. Voevodsky. If $S$ is a finite dimensional
noetherian scheme such that $S=\cup_\alpha\Spec(R_\alpha)$ for {\em countable}
rings $R_\alpha$, then the stable motivic homotopy category over $S$ satisfies
Brown representability.

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