Stabilization hypothesis

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