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Adelic cohomology

2019/03/07 by J. P. C. Greenlees, Greenlees, J. P. C. · 1 citation
Mathematics · #13D #18G #55U #Algebraic Topology (math.AT) #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AT #math.CT #msc:13D #msc:18G #msc:55U

paper · pdf · doi:10.48550/arxiv.1903.02668

arxiv created 2019/03/07 · arxiv updated 2019/03/08

Abstract

The characteristic feature of the adeles is that they involve localizations of products (or equivalently restricted products of localizations). The point of this paper is to introduce an adelic style cohomological invariant of a partially ordered set with auxiliary structure which covers several examples of established interest in commutative algebra and stable equivariant homotopy theory.

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