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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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A $C_2$-equivariant analog of Mahowald’s Thom spectrum theorem
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by Mark Behrens and Dylan Wilson PDF
Proc. Amer. Math. Soc. 146 (2018), 5003-5012 Request permission

Abstract:

We prove that the $C_2$-equivariant Eilenberg–MacLane spectrum associated with the constant Mackey functor $\underline {\mathbb {F}}_2$ is equivalent to a Thom spectrum over $\Omega ^\rho S^{\rho + 1}$.
References
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Additional Information
  • Mark Behrens
  • Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana
  • MR Author ID: 690933
  • Email: mbehren1@nd.edu
  • Dylan Wilson
  • Affiliation: Department of Mathematics, 5734 S. University Avenue, Chicago, Illinois 60637
  • Email: dwilson@math.uchicago.edu
  • Received by editor(s): August 23, 2017
  • Received by editor(s) in revised form: February 3, 2018
  • Published electronically: August 14, 2018
  • Additional Notes: The first author was supported by NSF grant DMS-1611786.
  • Communicated by: Michael A. Mandell
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 5003-5012
  • MSC (2010): Primary 55P91, 55S91
  • DOI: https://doi.org/10.1090/proc/14175
  • MathSciNet review: 3856165