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Homotopy limits and colimits. (English) Zbl 0276.55006


MSC:

55P10 Homotopy equivalences in algebraic topology
55P05 Homotopy extension properties, cofibrations in algebraic topology
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References:

[1] Araki, S., Yosimura, Z.: A spectral sequence associated with a cohomology theory of infiniteCW-complexes. Osaka J. Math.9, 351-365 (1972) · Zbl 0253.55013
[2] Boardman, J.M.: Stable homotopy theory. Mimeographed notes, University of Warwick, 1965
[3] Boardman, J.M., Vogt, R.M.: Homotopy invariant algebraic structures on topological spaces. Lecture Notes in Math. 347, Berlin-Heidelberg-New York: Springer 1973 · Zbl 0285.55012
[4] Bousfield, A.K., Kan, D.M.: Homotopy limits, completions and localizations. Lecture Notes in Math. 304, Berlin-Heidelberg-New York: Springer 1972 · Zbl 0259.55004
[5] tom Dieck, T.: Partitions of unity in homotopy theory. Compositio math.23, 159-167 (1971) · Zbl 0212.55804
[6] tom Dieck, T., Kamps, K.H., Puppe, D.: Homotopietheorie. Lecture Notes in Math. 157, Berlin-Heidelberg-New York: Springer 1970 · Zbl 0203.25401
[7] Gabriel, P., Zisman, M.: Calculus of fractions and homotopy theory. Berlin-Heidelberg-New York Springer 1967 · Zbl 0186.56802
[8] Kraus, J. F.: Zur Homotopietheorie schwacher, reduzierter und symmetrischer Produkträume. Dissertation, Universität Heidelberg (1970) · Zbl 0211.55302
[9] Mac Lane, S.: Homology Berlin-Heidelberg-New York: Springer 1963
[10] Mather, M.: Pull-backs in homotopy theory. Preprint · Zbl 0351.55005
[11] Milnor, J.: On axiomatic homology theory. Pacific J. Math.12, 337-341 (1962) · Zbl 0114.39604
[12] Milnor, J.: Morse theory: Princeton: University Press 1963. · Zbl 0108.10401
[13] Puppe, D.: Homotopiemengen und ihre induzierten Abbildungen I. Math. Z.69, 299-344 (1958) · Zbl 0092.39803
[14] Segal, G. B.: Classifying spaces and spectral sequences. Inst. haut. Étud. sci., Publ. math.34, 105-112 (1968) · Zbl 0199.26404
[15] Strøm, A.: Note on cofibrations II. Math. Scandinav.22, 130-142 (1968) · Zbl 0181.26504
[16] Vogt, R. M.: Boardman’s stable homotopy category. Lecture Notes Series 21, Aarhus Universitet (1970) · Zbl 0224.55014
[17] Vogt, R. M.: Convenient categories of topological spaces for homotopy theory. Arch. der Math.22, 545-555 (1971) · Zbl 0237.54001
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