Stabilization hypothesis

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

Sources

• "Higher-dimensional algebra and topological quantum field theory", Journal of Mathematical Physics 36 (11): 6073–6105, 1995, doi:10.1063/1.531236, Bibcode: 1995JMP....36.6073B 

External links

• https://ncatlab.org/nlab/show/stabilization+hypothesis