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Brown representability in 1-homotopy theory

Published online by Cambridge University Press:  05 May 2011

Niko Naumann  and
Markus Spitzweck
Niko Naumann
Affiliation:
NWF I- Mathematik, Universität Regensburg, 93040 Regensburg, Germany, niko.naumann@mathematik.uni-regensburg.de
Markus Spitzweck
Affiliation:
NWF I- Mathematik, Universität Regensburg, 93040 Regensburg, Germany, Markus.Spitzweck@mathematik.uni-regensburg.de
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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.

Keywords

Motivic homotopy theorytriangulated categoriesBrown representability
Type
Research Article
Information
Journal of K-Theory , Volume 7 , Issue 3 , June 2011 , pp. 527 - 539
Copyright
Copyright © ISOPP 2011

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