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arXiv · 2111.00877

Substitudes, Bousfield localization, higher braided operads, and Baez-Dolan stabilization

David White
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Abstract

This short note reports on joint work with Michael Batanin towards a general machine for proving Baez-Dolan Stabilization Theorems for various models of higher categories, based on substitudes, Bousfield localization, and homotopical Beck-Chevalley squares. I provide a road map to our recent papers, and include new results proving Baez-Dolan Stabilization Theorems for Tamsamani weak $n$-categories, higher Segal categories, Ara's $n$-quasi-categories, and cartesian models of Segal and complete Segal objects due to Bergner and Rezk. I also attempt to clarify the connection to higher braided operads, and our more general stabilization machinery.

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David White. 2021-11-01. Substitudes, Bousfield localization, higher braided operads, and Baez-Dolan stabilization. https://doi.org/10.14760/owr-2021-46

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