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Brown representability in 1-homotopy theory

Published online by Cambridge University Press:  05 May 2011

Niko Naumann
Affiliation:
NWF I- Mathematik, Universität Regensburg, 93040 Regensburg, Germany, [email protected]
Markus Spitzweck
Affiliation:
NWF I- Mathematik, Universität Regensburg, 93040 Regensburg, Germany, [email protected]
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Abstract

We prove the following result announced by V. Voevodsky. If S is a finite dimensional noetherian scheme such that S = ∪αSpec(Rα) for countable rings Rα, then the stable motivic homotopy category over S satisfies Brown representability.

Type
Research Article
Copyright
Copyright © ISOPP 2011

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