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Vector bundles and projective modules. (English) Zbl 0109.41601


Keywords:

topology
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[1] Maurice Auslander and David A. Buchsbaum, Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390 – 405. · Zbl 0078.02802
[2] Maurice Auslander and D. A. Buchsbaum, Unique factorization in regular local rings, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 733 – 734. · Zbl 0084.26504
[3] Hyman Bass, Projective modules over algebras, Ann. of Math. (2) 73 (1961), 532 – 542. · Zbl 0113.26003
[4] R. Bott and J. Milnor, On the parallelizability of the spheres, Bull. Amer. Math. Soc. 64 (1958), 87 – 89. · Zbl 0082.16602
[5] M.A. Kervaire, Non-parallelizability of the n-sphere for \( n > 7\), Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 280-283. · Zbl 0093.37303
[6] Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Company, Inc., Toronto-New York-London, 1953. · Zbl 0052.11701
[7] J. Milnor, Notes on characteristic classes, Princeton Univ. Press, Princeton, N. J., 1957 (mimeographed).
[8] Masayoshi Nagata, A remark on the unique factorization theorem, J. Math. Soc. Japan 9 (1957), 143 – 145. · Zbl 0079.05405
[9] Jean-Pierre Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), 197 – 278 (French). · Zbl 0067.16201
[10] -, Modules projectifs et espaces fibrés a fibre vectorielle, exp. 23, Séminaire Dubreil-Pisot, Algèbre et théorie des nombres, Secrétariat mathématique, Paris, 1958. · Zbl 0132.41202
[11] Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. · Zbl 0054.07103
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