Brown representability in A¹-homotopy theory
classification
🧮 math.AG
math.AT
keywords
alphabrownhomotopyrepresentabilitycategorycountabledimensionalfinite
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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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