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The universal six-functor formalism

Brad Drew, Martin Gallauer

2022Annals of K-Theory16 citationsDOIOpen Access PDF

Abstract

We prove that Morel-Voevodsky’s stable A1-homotopy theory affords the universal coefficient system, giving rise to Grothendieck’s six operations.

Topics & Concepts

FunctorFormalism (music)MathematicsHomotopyPure mathematicsAlgebra over a fieldArtVisual artsMusicalHomotopy and Cohomology in Algebraic TopologyAlgebraic Geometry and Number TheoryAlgebraic structures and combinatorial models
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