On obstruction theory in orientable fiber bundles
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References
- J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20–104. MR 141119, DOI 10.2307/1970147
- José Adem, The iteration of the Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 720–726. MR 50278, DOI 10.1073/pnas.38.8.720
- A. Borel, La cohomologie mod $2$ de certains espaces homogènes, Comment. Math. Helv. 27 (1953), 165–197 (French). MR 57541, DOI 10.1007/BF02564561
- D. B. A. Epstein and R. L. E. Schwarzenberger, Imbeddings of real projective spaces, Ann. of Math. (2) 76 (1962), 180–184. MR 140121, DOI 10.2307/1970271
- André Haefliger, Plongements différentiables de variétés dans variétés, Comment. Math. Helv. 36 (1961), 47–82 (French). MR 145538, DOI 10.1007/BF02566892
- Robert Hermann, Secondary obstructions for fibre spaces, Bull. Amer. Math. Soc. 65 (1959), 5–8. MR 111038, DOI 10.1090/S0002-9904-1959-10253-6
- Morris W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959), 242–276. MR 119214, DOI 10.1090/S0002-9947-1959-0119214-4
- Sze-tsen Hu, Homotopy theory, Pure and Applied Mathematics, Vol. VIII, Academic Press, New York-London, 1959. MR 0106454
- S. D. Liao, On the theory of obstructions of fiber bundles, Ann. of Math. (2) 60 (1954), 146–191. MR 62441, DOI 10.2307/1969704
- Mark Mahowald, On extending cross sections in orientable $V_{k+m,\,n}$ bundles, Bull. Amer. Math. Soc. 68 (1962), 596–602. MR 145536, DOI 10.1090/S0002-9904-1962-10866-0
- W. S. Massey, Normal vector fields on manifolds, Proc. Amer. Math. Soc. 12 (1961), 33–40. MR 124914, DOI 10.1090/S0002-9939-1961-0124914-0 W. Massey and F. Peterson, On the dual Stiefel-Whitney classes of a manifold, (submitted to Bol. Soc. Mat. Mex.).
- John Milnor, Construction of universal bundles. I, Ann. of Math. (2) 63 (1956), 272–284. MR 77122, DOI 10.2307/1969609 —, Lectures on characteristic classes, Mimeographed notes, Princeton Univ., Princeton, N. J. G. Paechter, The groups ${\pi _r}({V_{n,m}})$. I-V, Quart. J. Math. Oxford Ser. (2) 7 (1956), 249-268; 9 (1958), 8-27; 10 (1959), 17-37, 241-60; 11 (1960), 1-16.
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258 W. T. Wu, Classes caractéristiques et i-carrés d’une variété, C. R. Acad. Sci. Paris 230 (1950), 508-511.
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 110 (1964), 315-349
- MSC: Primary 55.50; Secondary 55.40
- DOI: https://doi.org/10.1090/S0002-9947-1964-0157386-8
- MathSciNet review: 0157386