Ohkawa’s theorem: There is a set of Bousfield classes

DOI10.1090/S0002-9939-00-05669-0zbMath0963.55005MaRDI QIDQ4523213

John H. Palmieri, William G. Dwyer

Publication date: 8 January 2001

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

zbMATH Keywords

Ohkawa class

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42)

Related Items (12)

The Bousfield lattice of a triangulated category and stratification ⋮ Depth and Simplicity of Ohkawa’s Argument ⋮ From Ohkawa to Strong Generation via Approximable Triangulated Categories—A Variation on the Theme of Amnon Neeman’s Nagoya Lecture Series ⋮ Notes on an Algebraic Stable Homotopy Category ⋮ Generalized Bousfield lattices and a generalized retract conjecture ⋮ Homological localizations of Eilenberg–MacLane spectra ⋮ Colocalizing subcategories of D(R) ⋮ Inhabitants of interesting subsets of the Bousfield lattice ⋮ On kernels of cellular covers ⋮ Homotopical localizations of module spectra ⋮ A combinatorial model for the known Bousfield classes ⋮ A generalization of Ohkawa’s theorem

Cites Work

• Unnamed Item
• The localization of spectra with respect to homology
• The injective hull of homotopy types with respect to generalized homology functors
• The Boolean algebra of spectra
• Axiomatic stable homotopy theory

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