Tate cohomology lowers chromatic Bousfield classes

DOI10.1090/S0002-9939-96-03495-8zbMath0866.55011MaRDI QIDQ3837594

Hal Sadofsky, Mark A. Hovey

Publication date: 10 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symmetric groupspectrafinite groupTate homologyBousfield class

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Equivariant homology and cohomology in algebraic topology (55N91)

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Cites Work

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• The localization of spectra with respect to homology
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• The Segal conjecture for elementary abelian \(p\)-groups
• The root invariant and \(v_ 1\)-periodic families
• Small ring spectra
• Cobordism theories of unitary manifolds with singularities and formal group laws
• The root invariant in homotopy theory
• \(\nu_n\) telescopes and the Adams spectral sequence
• The Tate spectrum \(v_ n\)-periodic complex oriented theories
• Localization with Respect to Certain Periodic Homology Theories
• Root Invariants and Periodicity in Stable Homotopy Theory
• On conjectures of Mahowald, Segal and Sullivan
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• Generalized Tate cohomology
• The metastable homotopy of 𝑆ⁿ
• Nilpotence and stable homotopy theory. II