Rigidity in motivic homotopy theory

DOI10.1007/s00208-008-0208-5zbMath1180.14014OpenAlexW2032810195MaRDI QIDQ927273

Paul Arne Østvær, Oliver Röndigs

Publication date: 4 June 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-008-0208-5

zbMATH Keywords

rigiditylocalizationmotivic homotopy theorymotivic symmetric spectratransfer maps

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (19)

The motivic Segal-Becker theorem for algebraic \(K\)-theory ⋮ On the conservativity of the functor assigning to a motivic spectrum its motive ⋮ Rigidity for linear framed presheaves and generalized motivic cohomology theories ⋮ Algebraic cobordism and étale cohomology ⋮ Rigidity theorem for presheaves with $\Omega $-transfers ⋮ Stable motivic \(\pi_1\) of low-dimensional fields ⋮ Periodic self maps and thick ideals in the stable motivic homotopy category over \(\mathbb{C}\) at odd primes ⋮ Erratum to: ``Rigidity in motivic homotopy theory ⋮ Motivic and real étale stable homotopy theory ⋮ The first stable homotopy groups of motivic spheres ⋮ Remarks on motivic Moore spectra ⋮ Rigidity theorem for presheaves with Witt-transfers ⋮ Primes and fields in stable motivic homotopy theory ⋮ On the zeroth stable \(\mathbb{A}^1\)-homotopy group of a smooth curve ⋮ Convergence of the Motivic Adams Spectral Sequence ⋮ Noncommutative rigidity ⋮ The motivic Hopf map solves the homotopy limit problem for \(K\)-theory ⋮ Rigidity for equivariant pseudo pretheories ⋮ Reconstructing rational stable motivic homotopy theory

Cites Work

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• Cancellation theorem
• The localization of spectra with respect to homology
• On the K-theory of algebraically closed fields
• Motivic functors
• Motivic symmetric spectra
• Rigidity for orientable functors
• On the Picard group of the stable \(\mathbb A^1\)-homotopy category
• Rigidity II: non-orientable case
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Motives and modules over motivic cohomology
• Motives and etale motives with finite coefficients
• Localization Theories for Simplicial Presheaves
• \(\mathbb{A}^1\)-homotopy theory of schemes

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