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Homotopy colimits in the category of small categories. (English) Zbl 0392.18001

MSC:
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
55P47 Infinite loop spaces
55P60 Localization and completion in homotopy theory
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References:
[1] Gray, Category theory, homology theory, and their applications III pp 242–
[2] Waldhausen, Ann. of Math
[3] Waldhausen, Proc. 1976 AMS Summer Institute
[4] DOI: 10.1007/BF01219090 · Zbl 0276.55006 · doi:10.1007/BF01219090
[5] Street, Cahiers de Topologie et Geometrie Differentielle pp 217–
[6] DOI: 10.1007/BF02684591 · Zbl 0199.26404 · doi:10.1007/BF02684591
[7] Gray, Proc. Conf. Categorical Algebra pp 21– (1965)
[8] Quillen, Algebraic K-theory I pp 341– · Zbl 0292.18004
[9] Lewis, Coherence in categories pp 148–
[10] May, New developments in topology pp 61–
[11] Kelly, Category Seminar: Sydney pp 281– (1972)
[12] MacLane, Categories for the working mathematician · Zbl 0232.18001
[13] DOI: 10.1007/BFb0080003 · doi:10.1007/BFb0080003
[14] DOI: 10.1016/0040-9383(74)90022-6 · Zbl 0284.55016 · doi:10.1016/0040-9383(74)90022-6
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