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arXiv · 1312.4340

Semistable Symmetric Spectra in $A1$-homotopy theory

Stephan Haehne·Jens Hornbostel
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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.

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BibTeXRIS

Stephan Haehne, Jens Hornbostel. 2013-12-16. Semistable Symmetric Spectra in $A1$-homotopy theory. https://arxiv.org/abs/1312.4340

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