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Stabilization hypothesis

From Wikipedia, the free encyclopedia

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.[1] Precisely, it states that the suspension functor is an equivalence for .[2]


  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


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This page was last edited on 7 April 2022, at 16:49
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