Substitudes, Bousfield localization, higher braided operads, and Baez-Dolan stabilization
Algebraic Topology
2022-07-05 v1 Category Theory
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 -categories, higher Segal categories, Ara's -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.
Cite
@article{arxiv.2111.00877,
title = {Substitudes, Bousfield localization, higher braided operads, and Baez-Dolan stabilization},
author = {David White},
journal= {arXiv preprint arXiv:2111.00877},
year = {2022}
}