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.[1] Precisely, it states that the suspension functor nCatk->nCatk+1 is an equivalence for k≥n+2.[2]

## References

1. ↑ Lurie, Jacob (2009-10-30). "Derived Algebraic Geometry VI: E_k Algebras". Example 1.2.3. arXiv:0911.0018 [math.AT].
2. ↑ Baez & Dolan 1995, § 5 harvnb error: no target: CITEREFBaezDolan1995 (help)

## 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

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