Stabilization hypothesis
From HandWiki
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 [math]\displaystyle{ \mathsf{nCat}_k \to \mathsf{nCat}_{k+1} }[/math] is an equivalence for [math]\displaystyle{ k \ge n + 2 }[/math].[2]
References
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
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