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- W2891005148 abstract "An alternative approach to the classical Morel-Voevodsky stable motivic homotopy theory $SH(k)$ is suggested. The triangulated category of framed bispectra $SH_{nis}^{fr}(k)$ and effective framed bispectra $SH_{nis}^{fr,eff}(k)$ are introduced in the paper. Both triangulated categories only use Nisnevich local equivalences and have nothing to do with any kind of motivic equivalences. It is shown that $SH_{nis}^{fr}(k)$ and $SH_{nis}^{fr,eff}(k)$ recover the classical Morel-Voevodsky triangulated categories of bispectra $SH(k)$ and effective bispectra $SH^{eff}(k)$ respectively. We also recover $SH(k)$ and $SH^{eff}(k)$ as the triangulated category of framed motivic spectral functors $SH_{S^1}^{fr}[mathcal Fr_0(k)]$ and the triangulated category of framed motives $mathcal {SH}^{fr}(k)$ respectively constructed in the paper." @default.
- W2891005148 created "2018-09-27" @default.
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- W2891005148 date "2018-09-21" @default.
- W2891005148 modified "2023-09-23" @default.
- W2891005148 title "The triangulated categories of framed bispectra and framed motives" @default.
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