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Localization, homology and a construction of Adams. (English) Zbl 0262.55008


MSC:

55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology
55N05 Čech types
55N10 Singular homology and cohomology theory
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
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References:

[1] M. Artin and B. Mazur, Etale homotopy, Lecture Notes in Mathematics, No. 100, Springer-Verlag, Berlin-New York, 1969. · Zbl 0182.26001
[2] A. K. Bousfield and D. M. Kan, Homotopy with respect to a ring, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970) Amer. Math. Soc., Providence, R.I., 1971, pp. 59 – 64.
[3] Aristide Deleanu and Peter Hilton, On the generalized Čech construction of cohomology theories, Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69) Academic Press, London, 1970, pp. 193 – 218.
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[9] Alex Heller, Stable homotopy categories, Bull. Amer. Math. Soc. 74 (1968), 28 – 63. · Zbl 0177.25605
[10] Peter Hilton, Putting coefficients into a cohomology theory. I, Nederl. Akad. Wetensch. Proc. Ser. A 73=Indag. Math. 32 (1970), 196 – 209. Peter Hilton, Putting coefficients into a cohomology theory. II, Nederl. Akad. Wetensch. Proc. Ser. A 73=Indag. Math. 32 (1970), 210 – 216. · Zbl 0195.24702
[11] John Milnor, On spaces having the homotopy type of a \?\?-complex, Trans. Amer. Math. Soc. 90 (1959), 272 – 280. · Zbl 0084.39002
[12] D. Sullivan, Geometric topology. I. Localization, periodicity and Galois symmetry, M.I.T., Cambridge, Mass., 1970 (mimeographed notes).
[13] Rainer Vogt, Boardman’s stable homotopy category, Lecture Notes Series, No. 21, Matematisk Institut, Aarhus Universitet, Aarhus, 1970. · Zbl 0224.55014
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