Semi-topologization in motivic homotopy theory and applications
Abstract
We study the semi-topologization functor of Friedlander-Walker from the perspective of motivic homotopy theory. We construct a triangulated endo-functor on the stable motivic homotopy category SH(), which we call homotopy semi-topologization. As applications, we discuss the representability of several semi-topological cohomology theories in SH(), a construction of a semi-topological analogue of algebraic cobordism, and a construction of Atiyah-Hirzebruch type spectral sequences for this theory.
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