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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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An operadic proof of Baez-Dolan stabilization hypothesis
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by M. A. Batanin PDF
Proc. Amer. Math. Soc. 145 (2017), 2785-2798 Request permission

Abstract:

We prove a stabilization theorem for algebras of $n$-operads in a monoidal model category $\mathcal {E}.$ It implies a version of the Baez-Dolan stabilization hypothesis for Rezk’s weak $n$-categories and some other stabilization results.
References
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Additional Information
  • M. A. Batanin
  • Affiliation: Macquarie University, North Ryde, 2109 Sydney, Australia
  • Email: michael.batanin@mq.edu.au
  • Received by editor(s): December 11, 2015
  • Received by editor(s) in revised form: August 2, 2016
  • Published electronically: December 27, 2016
  • Communicated by: Michael A. Mandell
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 2785-2798
  • MSC (2010): Primary 18D20, 18D50, 55P48
  • DOI: https://doi.org/10.1090/proc/13423
  • MathSciNet review: 3637930