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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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