{
  "id": "1312.4340",
  "version": "v2",
  "published": "2013-12-16T12:48:57.000Z",
  "updated": "2014-04-16T07:33:06.000Z",
  "title": "Semistable Symmetric Spectra in $A1$-homotopy theory",
  "authors": [
    "Stephan Haehne",
    "Jens Hornbostel"
  ],
  "comment": "minor changes, typos corrected",
  "categories": [
    "math.AT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-16T07:33:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P42",
      "14F42",
      "55P43",
      "55U35"
    ],
    "keywords": [
      "homotopy theory",
      "quite general monoidal model categories",
      "algebraic cobordism spectrum",
      "study semistable symmetric spectra",
      "motivic eilenberg-maclane spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.4340H"
    }
  }
}