Book Review
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MathSciNet review:
1567599
Full text of review:
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This review is available free of charge.
Book Information:
Author:
John McCleary
Title:
User's guide to spectral sequences
Additional book information:
Mathematics Lecture Series No. 12, Publish or Perish, Inc., Wilmington, Delaware, 1985, xiii + 423 pp., $40.00. ISBN 0-914098-21-7.
Armand Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115–207 (French). MR 51508, DOI 10.2307/1969728
G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), 110–134. MR 52438, DOI 10.1090/S0002-9947-1953-0052438-8
Jean Leray, L’anneau spectral et l’anneau filtré d’homologie d’un espace localement compact et d’une application continue, J. Math. Pures Appl. (9) 29 (1950), 1–80, 81–139 (French). MR 37505
Roger C. Lyndon, The cohomology theory of group extensions, Duke Math. J. 15 (1948), 271–292. MR 25468
Jean-Pierre Serre, Cohomologie des extensions de groupes, C. R. Acad. Sci. Paris 231 (1950), 643–646 (French). MR 37506
Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
- 1.
- A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115-207. MR 0051508
- 2.
- G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74 (1953), 110-134. MR 52438
- 3.
- J. Leray, L'anneau spectral et l'anneau filtré d'homologie d'un espace localement compact et d'une application continue, J. Math. Pures Appl. 29 (1950), 1-139. MR 37505
- 4.
- R. C. Lyndon, The cohomology theory of group extensions, Duke Math. J. 15 (1948), 271-292. MR 25468
- 5.
- J.-P. Serre, Cohomologie des extensions des groupes, C. R. Acad. Sci. Paris 226 (1950), 303-305. MR 37506
- 6.
- J.-P. Serre, Homologie singulière des espaces fibrés, Ann. of Math. (2) 54 (1951), 425-505. MR 45386
Review Information:
Reviewer:
W. S. Massey
Journal:
Bull. Amer. Math. Soc.
16 (1987), 135-143
DOI:
https://doi.org/10.1090/S0273-0979-1987-15489-9