The Hurewicz homomorphism and finite homotopy invariants
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- by M. Arkowitz and C. R. Curjel PDF
- Trans. Amer. Math. Soc. 110 (1964), 538-551 Request permission
References
- M. G. Barratt, Spaces of finite characteristic, Quart. J. Math. Oxford Ser. (2) 11 (1960), 124–136. MR 120647, DOI 10.1093/qmath/11.1.124
- Israël Berstein, Homotopy $\textrm {mod.}\ C$ of spaces of category 2, Comment. Math. Helv. 35 (1961), 9–14. MR 123324, DOI 10.1007/BF02566999
- A. L. Blakers and W. S. Massey, The homotopy groups of a triad. II, Ann. of Math. (2) 55 (1952), 192–201. MR 44836, DOI 10.2307/1969428
- W. Browder and E. Thomas, Axioms for the generalized Pontryagin cohomology operations, Quart. J. Math. Oxford Ser. (2) 13 (1962), 55–60. MR 140103, DOI 10.1093/qmath/13.1.55
- Edgar H. Brown Jr. and Arthur H. Copeland Jr., An homology analogue of Postnikov systems, Michigan Math. J. 6 (1959), 313–330. MR 110096
- Henri Cartan and Jean-Pierre Serre, Espaces fibrés et groupes d’homotopie. II. Applications, C. R. Acad. Sci. Paris 234 (1952), 393–395 (French). MR 46046
- C. R. Curjel, On the homology decomposition of polyhedra, Illinois J. Math. 7 (1963), 121–136. MR 145518 —, A note on spaces of category $\leqq 2$, Math. Z. 80 (1963), 293-299.
- Albrecht Dold, Über die Steenrodschen Kohomologieoperationen, Ann. of Math. (2) 73 (1961), 258–294 (German). MR 123318, DOI 10.2307/1970334
- B. Eckmann and P. J. Hilton, On the homology and homotopy decomposition of continuous maps, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 372–375. MR 108791, DOI 10.1073/pnas.45.3.372
- P. J. Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc. 30 (1955), 154–172. MR 68218, DOI 10.1112/jlms/s1-30.2.154
- Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. MR 0106454
- I. M. James, On the homotopy groups of spheres, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 222–224. MR 0114212
- Jean-Pierre Meyer, Whitehead products and Postnikov systems, Amer. J. Math. 82 (1960), 271–280. MR 149477, DOI 10.2307/2372735
- Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
- Jean-Pierre Serre, Groupes d’homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258–294 (French). MR 59548, DOI 10.2307/1969789
- N. E. Steenrod, Cohomology operations, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 165–185. MR 0098367
- R. Thom, L’homologie des espaces fonctionnels, Colloque de topologie algébrique, Louvain, 1956, Georges Thone, Liège; Masson & Cie, Paris, 1957, pp. 29–39 (French). MR 0089408
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 110 (1964), 538-551
- MSC: Primary 55.40
- DOI: https://doi.org/10.1090/S0002-9947-1964-0158401-8
- MathSciNet review: 0158401