Stable homotopy categories
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- by Alex Heller PDF
- Bull. Amer. Math. Soc. 74 (1968), 28-63
References
- J. Frank Adams, Stable homotopy theory, Second revised edition, Lecture Notes in Mathematics, No. 3, Springer-Verlag, Berlin-New York, 1966. Lectures delivered at the University of California at Berkeley, 1961; Notes by A. T. Vasquez. MR 0196742 2. J. M. Boardman, Stable homotopy theory, University of Warwick, 1966.
- Edgar H. Brown Jr., Cohomology theories, Ann. of Math. (2) 75 (1962), 467–484. MR 138104, DOI 10.2307/1970209 4. E. H. Brown, Abstract homotopy theory, Conference on Algebraic Topology, Seattle, 1963. 5. A. Dold, Relations between ordinary and extraordinary homology, Colloquium on Algebraic Topology, Matematisk Institut, Aarhus Universitat, Aarhus, 1962, pp. 1-9.
- Albrecht Dold, Halbexakte Homotopiefunktoren, Lecture Notes in Mathematics, vol. 12, Springer-Verlag, Berlin-New York, 1966 (German). MR 0198464
- Samuel Eilenberg and J. C. Moore, Foundations of relative homological algebra, Mem. Amer. Math. Soc. 55 (1965), 39. MR 178036
- Samuel Eilenberg and G. Max Kelly, Closed categories, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 421–562. MR 0225841
- Peter Freyd, Stable homotopy, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 121–172. MR 0211399
- Peter Freyd, Splitting homotopy idempotents, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 173–176. MR 0206069
- Peter Freyd, The Grothendieck group for stable homotopy is free, Bull. Amer. Math. Soc. 73 (1967), 84–86. MR 205253, DOI 10.1090/S0002-9904-1967-11650-1
- Alex Heller, Homological algebra in abelian categories, Ann. of Math. (2) 68 (1958), 484–525. MR 100622, DOI 10.2307/1970153
- Alex Heller, The loop-space functor in homological algebra, Trans. Amer. Math. Soc. 96 (1960), 382–394. MR 116045, DOI 10.1090/S0002-9947-1960-0116045-4
- Alex Heller, Extraordinary homology and chain complexes, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 355–365. MR 0210116
- Daniel M. Kan, Abstract homotopy. II, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 255–258. MR 79763, DOI 10.1073/pnas.42.5.255
- Dieter Puppe, Homotopiemengen und ihre induzierten Abbildungen. I, Math. Z. 69 (1958), 299–344 (German). MR 100265, DOI 10.1007/BF01187411
- Dieter Puppe, Stabile Homotopietheorie. I, Math. Ann. 169 (1967), 243–274 (German). MR 211400, DOI 10.1007/BF01362348
- E. Spanier, Secondary operations on mappings and cohomology, Ann. of Math. (2) 75 (1962), 260–282. MR 133823, DOI 10.2307/1970174
- E. H. Spanier and J. H. C. Whitehead, Duality in homotopy theory, Mathematika 2 (1955), 56–80. MR 74823, DOI 10.1112/S002557930000070X
- Hirosi Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, No. 49, Princeton University Press, Princeton, N.J., 1962. MR 0143217 21. J. Verdier, Catégories derivées, quelques resultats, Mimeographed Notes, I.H.E.S., Paris, 1966.
- George W. Whitehead, Generalized homology theories, Trans. Amer. Math. Soc. 102 (1962), 227–283. MR 137117, DOI 10.1090/S0002-9947-1962-0137117-6
Additional Information
- Journal: Bull. Amer. Math. Soc. 74 (1968), 28-63
- DOI: https://doi.org/10.1090/S0002-9904-1968-11871-3
- MathSciNet review: 0224090