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References
P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35, Springer (1967).
A. Hatcher, Higher simple homotopy theory, Ann. of Math. 102 (1975), 101–137.
—, Concordance spaces, higher simple homotopy theory, and applications, Proc. Symp. Pure Math. vol. 32, part I, A.M.S. (1978), 3–21.
D.M. Kan, On c.s.s. complexes, Amer. J. Math. 79 (1957), 449–476.
J.L. Loday, Homotopie des espaces de concordances, Séminaire Bourbaki, 30e année, 1977/78, no 516.
D.G. Quillen, Homotopical algebra, Springer Lecture Notes in Math. 43.
—, Cohomology of groups, Actes, Congrès Intern. Math. 1970, tom 2, 47–51.
—, Higher Algebraic K-theory. I, Springer Lecture Notes in Math. 341 (1973), 85–147.
M. Ravel, Alborada del gracioso, Editions Max Eschig, Paris.
G. Segal, Classifying spaces and spectral sequences, Publ. Math. I.H.E.S. 34 (1968), 105–112.
—, Categories and cohomology theories, Topology 13 (1974), 293–312.
—, Configuration spaces and iterated loop spaces, Invent. math. 21 (1973), 213–221.
F. Waldhausen, Algebraic K-theory of generalized free products, Ann. of Math. 108 (1978), 135–256.
—, Algebraic K-theory of topological spaces. I, Proc. Symp. Pure Math. vol. 32, part I, A.M.S. (1978), 35–60.
—, Algebraic K-theory of spaces, a manifold approach, Canadian Math. Soc., Conf. Proc., vol. 2, part 1, A.M.S. (1982), 141–184.
—, Spaces of PL manifolds and categories of simple maps.
—, Operations in the algebraic K-theory of spaces, Springer Lecture Notes in Math. (1982), 390–409.
—, Algebraic K-theory of spaces, localization, and the chromatic filtration of stable homotopy, Springer Lecture Notes in Math. 1051 (1984), 173–195.
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Waldhausen, F. (1985). Algebraic K-theory of spaces. In: Ranicki, A., Levitt, N., Quinn, F. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 1126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074449
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DOI: https://doi.org/10.1007/BFb0074449
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