Stabilization hypothesis

In mathematics, specifically in category theory and algebraic topology, the Baez–Dolan stabilization hypothesis, proposed in Template:Harv, 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 ${𝗇 𝖢 𝖺 𝗍}_{k} \to {𝗇 𝖢 𝖺 𝗍}_{k + 1}$ is an equivalence for $k \geq n + 2$ .^[2]