An operadic proof of Baez-Dolan stabilization hypothesis
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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