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Parallel transport and classification of fibrations

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Algebraic and Geometrical Methods in Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 428))

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Bibliography

  1. A. Dold, Partitions of unity in the theory of fibrations, Ann. of Math. (2) 78 (1963), 223–255. MR 27 #5264.

    Article  MathSciNet  MATH  Google Scholar 

  2. E. Floyd, this conference.

    Google Scholar 

  3. M. Fuchs, A modified Dold-Lashof construction that does classify H-principle fibrations (to appear).

    Google Scholar 

  4. A Haefliger, Homotopy and Integrability, Lecture Notes in Mathematics 197.

    Google Scholar 

  5. P. Hilton, Homotopy theory and duality, Gordon and Breach, New York, 1965 MR 33 #6624.

    Google Scholar 

  6. J. W. Milnor, Construction of universal bundles. II, Ann. of Math. (2) 63 (1956), 430–436.

    Article  MathSciNet  MATH  Google Scholar 

  7. G. Segal, Categories and Cohomology theories.

    Google Scholar 

  8. J. D. Stasheff, "Parallel" transport in fibre spaces, Bol. Soc. Mat. Mexicana (2) 11 (1966), 68–84 MR 38 #5219.

    MathSciNet  MATH  Google Scholar 

  9. J. D. Stasheff, Appendices to Bott's lectures on Foliations, Lecture Notes in Math 279.

    Google Scholar 

  10. N. E. Steenrod, The classification of sphere bundles, Ann. of Math (2) 45 (1944), 294–311.

    Article  MathSciNet  MATH  Google Scholar 

  11. O. Veblen and J. H. C. Whitehead, The foundations of differential Geometry, Cambridge University Press, 1932.

    Google Scholar 

  12. J. F. Wirth, Fibre spaces and the higher homotopy cocycle relations, Thesis, Notre Dame, Ind., 1965.

    Google Scholar 

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Authors

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Louis F. McAuley

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© 1974 Springer-Verlag

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Stasheff, J.D. (1974). Parallel transport and classification of fibrations. In: McAuley, L.F. (eds) Algebraic and Geometrical Methods in Topology. Lecture Notes in Mathematics, vol 428. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070531

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  • DOI: https://doi.org/10.1007/BFb0070531

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  • Print ISBN: 978-3-540-07019-1

  • Online ISBN: 978-3-540-37300-1

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