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arXiv math/9810058math.CTmath.ATmath.QA
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On the Breen-Baez-Dolan stabilization hypothesis for Tamsamani's weak n-categories

Carlos Simpson

英文摘要:

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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