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

Carlos Simpson

math.CTarXiv:math/9810058

Abstract

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

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