A finite order arithmetic foundation for cohomology

Mathematics – Logic

Scientific paper

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This version founds the entire Grothendieck tool kit at the strength of finite order arithmetic, strengthening the first versi

Scientific paper

Large-structure tools like toposes and derived categories in cohomology never
go far from arithmetic in practice, yet existing foundations for them are
stronger than ZFC. We formalize the practical insight by founding the entire
toolkit of EGA and SGA at the level of finite order arithmetic.

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