Ohkawa’s theorem: There is a set of Bousfield classes
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- by William G. Dwyer and John H. Palmieri PDF
- Proc. Amer. Math. Soc. 129 (2001), 881-886 Request permission
Abstract:
We give a simple proof of Ohkawa’s theorem, that there is a set of Bousfield classes. The proof leads us to consider the partially ordered set of Ohkawa classes, especially as it compares to the partially ordered set of Bousfield classes.References
- A. K. Bousfield, The Boolean algebra of spectra, Comment. Math. Helv. 54 (1979), no. 3, 368–377. MR 543337, DOI 10.1007/BF02566281
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- M. Hovey and J. H. Palmieri, The structure of the Bousfield lattice, Homotopy invariant algebraic structures (J.-P. Meyer, J. Morava, and W. S. Wilson, eds.), Contemp. Math., vol. 239, Amer. Math. Soc., Providence, RI, 1999.
- Mark Hovey, John H. Palmieri, and Neil P. Strickland, Axiomatic stable homotopy theory, Mem. Amer. Math. Soc. 128 (1997), no. 610, x+114. MR 1388895, DOI 10.1090/memo/0610
- Tetsusuke Ohkawa, The injective hull of homotopy types with respect to generalized homology functors, Hiroshima Math. J. 19 (1989), no. 3, 631–639. MR 1035147
Additional Information
- William G. Dwyer
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- MR Author ID: 61120
- Email: dwyer.1@nd.edu
- John H. Palmieri
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- Address at time of publication: Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195-4350
- Email: palmieri@member.ams.org
- Received by editor(s): May 12, 1999
- Published electronically: September 20, 2000
- Additional Notes: This work was partially supported by the National Science Foundation, Grant DMS98-02386.
- Communicated by: Ralph Cohen
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 881-886
- MSC (2000): Primary 55P42, 55P60, 55U35
- DOI: https://doi.org/10.1090/S0002-9939-00-05669-0
- MathSciNet review: 1712921