Stable Infinity-Category

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Stability requires a zero object, fibers and cofibers of every map, and agreement of fiber and cofiber sequences. Begin with spectra, then follow how stable infinity-categories retain the homotopy information behind triangulated categories.

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Higher Categories and the Topos Bridge · Categorical Limit · categorical colimit · Stable Homotopy Group

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  1. Start here: Higher Algebra

    Jacob Lurie · Book manuscript · English · Free full text

    §1.1.1, Definition 1.1.1.9 and Example 1.1.1.11 (spectra); §1.1.2, Remark 1.1.2.16 (relation to triangulated categories)

    Checked 2026-10-16

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