Keywords
- Fibre Bundle
- Spectral Sequence
- Betti Number
- Total Degree
- Principal Bundle
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
A. Borel, Séminaire de Topologie algébrique de l'E.P.F., Zurich (1951).
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.
R. Bott and H. Samelson, On the Pontrjagin product in spaces of paths, Comment. Math. Helv. 27 (1953), 320–337.
H. Cartan, Séminaire de Topologie algébrique de l'E.N.S. II, Paris (1949–50).
H. Cartan, idem III, (1950–51).
S. Eilenberg, idem III, (1950–51).
T. Kudo, Homological structure of fibre bundles, Jour. Inst. of Polyt. Osaka City Univ. 2 (1952), 101–140.
J. Leray, Espaces où opère un groupe de Lie compact connexe, Comptes rendus de l'Académie des Sciences, Paris, t. 228 (1949), pp. 1545–47. —J. Leray, Applications continues commutant avec les éléments d'un groupe de Lie, ibid., Comptes rendus de l'Académie des Sciences, Paris, t. 228 (1949), pp. 1784–86.
J. Leray, L'homologie d'un espace fibré dont la fibre est connexe, Jour. Math. Pures Appl. IXs. 29 (1950), 169–213.
S.D. Liao, On the theory of obstructions of fibre bundles, Ann. of Math. (2) 60 (1954), 146–191.
S. Mac Lane, Spectral sequences and homotopy, U. of Chicago (mimeographed note).
J.P. Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. 54 (1951), 425–505.
N. Steenrod, The topology of fibre bundles, Princeton (1951).
Rights and permissions
Copyright information
© 1967 Springer-Verlag
About this chapter
Cite this chapter
Borel, A. (1967). Spectral sequence of a fibre bundle. In: Topics in the Homology Theory of Fibre Bundles. Lecture Notes in Mathematics, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096869
Download citation
DOI: https://doi.org/10.1007/BFb0096869
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-03907-5
Online ISBN: 978-3-540-34975-4
eBook Packages: Springer Book Archive
