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In category theory, a branch of mathematics, a stable ∞-category is an ∞-category such that
The homotopy category of a stable ∞-category is triangulated. A stable ∞-category admits finite limits and colimits.
Examples: the derived category of an abelian category and the ∞-category of spectra are both stable.
A stabilization of an ∞-category C having finite limits and base point is a functor from the stable ∞-category S to C. It preserves limit. The objects in the image have the structure of infinite loop spaces; whence, the notion is a generalization of the corresponding notion ] in classical algebraic topology.
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