Paper
Real isotropic motivic spectra
Authors
Fabio Tanania
Abstract
In this paper, we introduce the category of real isotropic motivic spectra, and show that the real realization functor from motivic spectra over to classical spectra factors through it. We then describe its cellular subcategory as a one-parameter deformation of the category of spectra, with parameter corresponding to , whose special fiber is the derived category of comodules over the dual Steenrod algebra. This leads to an identification of real isotropic cellular spectra with -synthetic spectra, and sheds light on the relation between motivic homotopy theory over and -synthetic homotopy theory.