Smith, Larry Homological algebra and the Eilenberg-Moore spectral sequence. (English) Zbl 0177.51402 Trans. Am. Math. Soc. 129, 58-93 (1967). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 52 Documents Keywords:topology PDFBibTeX XMLCite \textit{L. Smith}, Trans. Am. Math. Soc. 129, 58--93 (1967; Zbl 0177.51402) Full Text: DOI References: [1] J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20 – 104. · Zbl 0096.17404 · doi:10.2307/1970147 [2] Paul F. Baum, On the cohomology of homogeneous spaces, Topology 7 (1968), 15 – 38. · Zbl 0158.42002 · doi:10.1016/0040-9383(86)90012-1 [3] Armand Borel, Sur l’homologie et la cohomologie des groupes de Lie compacts connexes, Amer. J. Math. 76 (1954), 273 – 342 (French). · Zbl 0056.16401 · doi:10.2307/2372574 [4] 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). · Zbl 0052.40001 · doi:10.2307/1969728 [5] Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. · Zbl 0075.24305 [6] Samuel Eilenberg and John C. Moore, Homology and fibrations. I. Coalgebras, cotensor product and its derived functors, Comment. Math. Helv. 40 (1966), 199 – 236. · Zbl 0148.43203 · doi:10.1007/BF02564371 [7] Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. · Zbl 0047.41402 [8] Leif Kristensen, On the cohomology of two-stage Postnikov systems, Acta Math. 107 (1962), 73 – 123. · Zbl 0104.39704 · doi:10.1007/BF02545783 [9] Leif Kristensen, On the cohomology of spaces with two non-vanishing homotopy groups, Math. Scand. 12 (1963), 83 – 105. · Zbl 0117.16301 · doi:10.7146/math.scand.a-10674 [10] Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Bd. 114, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. · Zbl 0818.18001 [11] W. S. Massey and F. P. Peterson, The cohomology structure of certain fibre spaces. I, Topology 4 (1965), 47 – 65. · Zbl 0132.19103 · doi:10.1016/0040-9383(65)90048-0 [12] John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211 – 264. · Zbl 0163.28202 · doi:10.2307/1970615 [13] J. C. Moore, Algèbre homologique et des espaces classifiants, Séminaire Cartan et Moore 1959/1960, Exposé 7, Ecole Norm. Sup. Paris. · Zbl 0115.17205 [14] Franklin P. Peterson and Norman Stein, Secondary characteristic classes, Ann. of Math. (2) 76 (1962), 510 – 523. · Zbl 0107.16904 · doi:10.2307/1970371 [15] Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425 – 505 (French). · Zbl 0045.26003 · doi:10.2307/1969485 [16] Jean-Pierre Serre, Cohomologie modulo 2 des complexes d’Eilenberg-MacLane, Comment. Math. Helv. 27 (1953), 198 – 232 (French). · Zbl 0052.19501 · doi:10.1007/BF02564562 [17] Larry Smith, The cohomology of stable two stage Postnikov systems, Illinois J. Math. 11 (1967), 310 – 329. · Zbl 0171.21803 [18] N. E. Steenrod, Cohomology operations, Lectures by N. E. STeenrod written and revised by D. B. A. Epstein. Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. · Zbl 0102.38104 [19] N. E. Steenrod, Products of cocycles and extensions of mappings, Ann. of Math. (2) 48 (1947), 290 – 320. · Zbl 0030.41602 · doi:10.2307/1969172 [20] John Tate, Homology of Noetherian rings and local rings, Illinois J. Math. 1 (1957), 14 – 27. · Zbl 0079.05501 [21] Samuel Eilenberg and John C. Moore, Limits and spectral sequences, Topology 1 (1962), 1 – 23. · Zbl 0104.39603 · doi:10.1016/0040-9383(62)90093-9 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.