English

On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories

Category Theory 2007-05-23 v1 Algebraic Topology Quantum Algebra

Abstract

We show that if 2kn2k\geq n, then a k-connected weak n-category AA can be ``delooped'' to a k+1-connected weak n+1-category YY with HomY(y,y)AHom_Y(y,y)\cong A. This is the essential part of the ``stabilization hypothesis'' of Baez and Dolan q-alg/9503002, math/9802029.

Keywords

Cite

@article{arxiv.math/9810058,
  title  = {On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories},
  author = {Carlos Simpson},
  journal= {arXiv preprint arXiv:math/9810058},
  year   = {2007}
}
R2 v1 2026-07-22T18:00:26.197Z