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

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

1998-10-09

arxiv.org/abs/math/9810058v1

Mathematics

Category Theory

Scientific paper

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

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