Representability theorems for presheaves of spectra

DOI10.1016/j.jpaa.2010.04.001zbMath1204.55010OpenAlexW1982982836MaRDI QIDQ710560

John F. Jardine

Publication date: 19 October 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.04.001

zbMATH Keywords

representable functorBrown representability theorem

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Homotopy functors in algebraic topology (55P65)

Related Items

A classification of small homotopy functors from spectra to spectra ⋮ Duality and small functors ⋮ Classification of exterior and proper fibrations ⋮ Delta-discrete \(G\)-spectra and iterated homotopy fixed points ⋮ Brown representability for space-valued functors ⋮ Representability theorems, up to homotopy ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey ⋮ Brown representability for exterior cohomology and cohomology with compact supports ⋮ The derived deformation theory of a point

Cites Work

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• Presheaves of symmetric spectra
• Motivic symmetric spectra
• Categorical homotopy theory
• On the Representability of Homotopy Functors
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Failure of Brown representability in derived categories

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