Stabilization hypothesis

In mathematics, specifically in category theory and algebraic topology, the Baez–Dolan stabilization hypothesis, proposed in (Baez & Dolan 1995), states that suspension of a weak n-category has no more essential effect after n + 2 times.^[1] Precisely, it states that the suspension functor ${\displaystyle {\mathsf {nCat}}_{k}\to {\mathsf {nCat}}_{k+1}}$ is an equivalence for ${\displaystyle k\geq n+2}$.^[2]