In category theory, a branch of mathematics, a stable ∞-category is an ∞-category such that[1] The homotopy category of a stable ∞-category is triangulated.
[2] A stable ∞-category admits finite limits and colimits.
The objects in the image have the structure of infinite loop spaces; whence, the notion is a generalization of the corresponding notion (stabilization (topology)) in classical algebraic topology.
[4] By the Dold–Kan correspondence, this generalizes the construction of the spectral sequence associated to a filtered chain complex of abelian groups.
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