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The homological properties of H-spaces

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Topics in the Homology Theory of Fibre Bundles

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 36))

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Bibliography

  1. A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. 57 (1953), 115–207.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Borel, Sur l'homologie et la cohomologie des groupes de Lie compacts connexes, Amer. J. Math. 76 (1954), 273–342.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Bott and H. Samelson, On the Pontrjagin product in spaces of paths, Comm. Math. Helv. 27 (1953), 320–337.

    Article  MathSciNet  MATH  Google Scholar 

  4. H. Hopf, Über die Topologie der Gruppenmannigfaltigkeiten und ihrer Verallgemeinerungen, Ann. of Math. 42 (1941), 22–52.

    Article  MathSciNet  MATH  Google Scholar 

  5. T. Kudo, Homological structure of fibre bundles, Jour. Inst. of Polyt. Osaka City Univ. 2 (1952), 101–140.

    MathSciNet  MATH  Google Scholar 

  6. J. Leray, Sur la forme topologique des espaces et sur les points fixes des représentations, J. Math. Pures Applic. 54 (1945), 95–167.

    MathSciNet  MATH  Google Scholar 

  7. J. Leray, Espaces où opère un groupe de Lie compact connexe, Comptes rendus de l'Académie des Science, 228 (1949), 1545–1547; —J. Leray, Applications continues commutant avec les éléments d'un groupe de Lie, ibid., Comptes rendus de l'Académie des Science, 228 (1949), 1784–1786.

    MathSciNet  MATH  Google Scholar 

  8. H. Samelson, Beiträge zur Topologie der Gruppen-Mannigfaltigkeiten, Ann. of Math. 42 (1941), 1091–1137.

    Article  MathSciNet  MATH  Google Scholar 

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© 1967 Springer-Verlag

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Borel, A. (1967). The homological properties of H-spaces. In: Topics in the Homology Theory of Fibre Bundles. Lecture Notes in Mathematics, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096868

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  • DOI: https://doi.org/10.1007/BFb0096868

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  • Print ISBN: 978-3-540-03907-5

  • Online ISBN: 978-3-540-34975-4

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