Stable étale realization and étale cobordism

DOI10.1016/j.aim.2007.03.005zbMath1129.14031arXivmath/0608313OpenAlexW2106975039MaRDI QIDQ2381852

Gereon Quick

Publication date: 19 September 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608313

zbMATH Keywords

algebraic cobordism\(\mathbb{A}^1\)-homotopyprofinite spacesétale topological type

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Homotopy theory and fundamental groups in algebraic geometry (14F35) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Motivic cohomology; motivic homotopy theory (14F42) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (8)

Algebraic cobordism and étale cohomology ⋮ On numerical equivalence for algebraic cobordism ⋮ Continuous group actions on profinite spaces ⋮ The first stable homotopy groups of motivic spheres ⋮ Thom isomorphisms in triangulated motivic categories ⋮ Torsion algebraic cycles and étale cobordism ⋮ An Étale realization which does NOT exist ⋮ Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem

Cites Work

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• Flasque model structures for simplicial presheaves
• Etale K-theory. I: Connections with etale cohomology and algebraic vector bundles
• \(\mathbb{A}^1\)-homotopy theory
• Cech and Steenrod homotopy theories with applications to geometric topology
• Motivic functors
• Motivic symmetric spectra
• Completions of pro-spaces
• Oriented cohomology theories of algebraic varieties
• Étale realization on the \(\mathbb A^1\)-homotopy theory of schemes
• Duality and Pro-Spectra
• Inverting the motivic Bott element
• Etale homotopy
• Homotopy limits, completions and localizations
• Algebraic cobordism and 𝐾-theory
• Etale Homotopy of Simplicial Schemes. (AM-104)
• Algebraic Cobordism
• Algebraic and Etale K-Theory
• Algebraic $K$-theory and etale cohomology
• Spanier-Whitehead Duality in Etale Homotopy
• Symmetric spectra
• Ensembles profinis simpliciaux et interprétation géométrique du foncteur $T$
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Spectra and symmetric spectra in general model categories
• Universal homotopy theories

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