Semistable Symmetric Spectra in $A1$-homotopy theory
Algebraic Topology
2014-04-17 v2
Abstract
We study semistable symmetric spectra based on quite general monoidal model categories, including motivic examples. In particular, we establish a generalization of Schwede's list of equivalent characterizations of semistability in the case of motivic symmetric spectra. We also show that the motivic Eilenberg-MacLane spectrum and the algebraic cobordism spectrum are semistable. Finally, we show that semistability is preserved under localization if some reasonable conditions - which often hold in practice - are satisfied.
Keywords
Cite
@article{arxiv.1312.4340,
title = {Semistable Symmetric Spectra in $A1$-homotopy theory},
author = {Stephan Haehne and Jens Hornbostel},
journal= {arXiv preprint arXiv:1312.4340},
year = {2014}
}
Comments
minor changes, typos corrected