The Equivalence of Grayson and Friedlander-Suslin Spectral Sequences

Abstract

This thesis establishes the equivalence of Grayson and Friedlander-Suslin spectral sequences, that was previously only known for the respective E2-terms. We develop the necessary techniques regarding K0-presheaves of spectra, building on the work of M. Walker and construct certain filtrations on the K-theory presheaf of spectra that we use as intermediate steps in obtaining the equivalence of the filtrations.

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