%0 Journal Article %T Semistable Symmetric Spectra in $A1$-homotopy theory %A Stephan Haehne %A Jens Hornbostel %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1312.4340v2