71 research outputs found
The triangulated categories of framed bispectra and framed motives
An alternative approach to the classical Morel-Voevodsky stable motivic
homotopy theory is suggested. The triangulated category of framed
bispectra and effective framed bispectra
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 and
recover the classical Morel-Voevodsky triangulated
categories of bispectra and effective bispectra
respectively.
We also recover and as the triangulated category of
framed motivic spectral functors and the
triangulated category of framed motives respectively
constructed in the paper
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