Thick ideals in equivariant and motivic stable homotopy categories
Algebraic Topology
2015-03-31 v1
Abstract
We study thick ideals in the stable motivic homotopy category SH(k) and in its subcategories of compact and of finite cellular objects. If k is a subfield of the complex or even the real numbers, then using comparison functors we find thick ideals corresponding to thick ideals in classical or Z/2-equivariant stable homotopy theory, respectively. We also study motivic Morava K-theories AK(n), for which we prove the motivic analogue of the decomposition of the Bousfield class of E(n) into Bousfield classes of K(i)'s over the complex numbers if p>2. In that case we also prove that AK(n)-acyclicity implies AK(n-1)-acyclicity.
Keywords
Cite
@article{arxiv.1503.08456,
title = {Thick ideals in equivariant and motivic stable homotopy categories},
author = {Ruth Joachimi},
journal= {arXiv preprint arXiv:1503.08456},
year = {2015}
}
Comments
116 pages