2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77528We 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.Category TheoryAlgebraic TopologyQuantum Algebratext