English

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

Algebraic Geometry 2009-09-11 v1 Algebraic Topology

Abstract

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

Keywords

Cite

@article{arxiv.0909.1943,
  title  = {Brown representability in $\A^1$-homotopy theory},
  author = {N. Naumann and M. Spitzweck},
  journal= {arXiv preprint arXiv:0909.1943},
  year   = {2009}
}
R2 v1 2026-06-21T13:44:54.298Z