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Homotopy equivalence of fiber bundles


Authors: M. L. Curtis and R. Lashof
Journal: Proc. Amer. Math. Soc. 9 (1958), 178-182
MSC: Primary 55.00
DOI: https://doi.org/10.1090/S0002-9939-1958-0098378-X
MathSciNet review: 0098378
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  • [1] M. L. Curtis, Classification spaces for a class of fiber spaces, Ann. of Math. vol. 60 (1954) pp. 304-316. MR 0068213 (16:846f)
  • [2] A. Dold, Über faserweise Homotopieäquivalenz von Faserräumen, Math. Zeit. 62 (1955) pp. 111-136. MR 0073986 (17:519d)
  • [3] R. Lashof, Classification of fiber bundles by the loop space of the base, Ann. of Math. vol. 64 (1956) pp. 436-446. MR 0082099 (18:497f)
  • [4] C. E. Miller, The topology of rotation groups, Ann. of Math. vol. 57 (1953) pp. 90-114. MR 0052772 (14:673b)
  • [5] John Milnor, Construction of universal bundles, I., Ann. of Math. vol. 63 (1956) pp. 272-284. MR 0077122 (17:994b)
  • [6] J. Nash, A path space and the Stiefel-Whitney classes, Proc. Nat. Acad. Sci. U.S.A. vol. 41 (1955) pp. 320-321. MR 0071081 (17:80a)
  • [7] J. P. Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. vol. 54 (1951) pp. 425-505. MR 0045386 (13:574g)
  • [8] N. Steenrod, Topology of fibre bundles, Princeton, 1951. MR 0039258 (12:522b)
  • [9] R. Thom, Espaces fibrés en sphères et carrés de Steenrod, Ann. École Norm. (1952) pp. 109-182. MR 0054960 (14:1004c)
  • [10] G. Whitehead, On products in homotopy groups, Ann. of Math. vol. 47 (1946) pp. 460-475. MR 0016672 (8:50b)

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DOI: https://doi.org/10.1090/S0002-9939-1958-0098378-X
Article copyright: © Copyright 1958 American Mathematical Society

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