Stabilization hypothesis
# 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. Precisely, it states that the suspension functor ${\mathsf {nCat}}_{k}\to {\mathsf {nCat}}_{k+1}$ is an equivalence for $k\geq n+2$.

