In mathematics, specifically in category theory and

algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classif ...

, the Baez–Dolan stabilization hypothesis, proposed in , states that

suspension Suspension or suspended may refer to: Science and engineering * Suspension (topology), in mathematics * Suspension (dynamical systems), in mathematics * Suspension of a ring, in mathematics * Suspension (chemistry), small solid particles suspen ...

of a weak ''n''-category has no more essential effect after ''n'' + 2 times. Precisely, it states that the suspension functor

\mathsf_k \to \mathsf_

is an equivalence for

k \ge n + 2

References

Sources

External links

*https://ncatlab.org/nlab/show/stabilization+hypothesis {{categorytheory-stub Algebraic topology Higher category theory