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Applications of bundle map theory. (English) Zbl 0251.55018

MSC:
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
55R10 Fiber bundles in algebraic topology
57N65 Algebraic topology of manifolds
55P45 \(H\)-spaces and duals
57R20 Characteristic classes and numbers in differential topology
55R35 Classifying spaces of groups and \(H\)-spaces in algebraic topology
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References:
[1] Guy Allaud, On the classification of fiber spaces, Math. Z. 92 (1966), 110 – 125. · Zbl 0139.16603
[2] Armand Borel, Topics in the homology theory of fibre bundles, Lectures given at the University of Chicago, vol. 1954, Springer-Verlag, Berlin-New York, 1967. · Zbl 0158.20503
[3] Robert F. Brown, On the Lefschetz number and the Euler class, Trans. Amer. Math. Soc. 118 (1965), 174 – 179. · Zbl 0129.39301
[4] Albrecht Dold and René Thom, Quasifaserungen und unendliche symmetrische Produkte, Ann. of Math. (2) 67 (1958), 239 – 281 (German). · Zbl 0091.37102
[5] James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. · Zbl 0144.21501
[6] Edward Fadell, Generalized normal bundles for locally-flat imbeddings, Trans. Amer. Math. Soc. 114 (1965), 488 – 513. · Zbl 0129.39503
[7] Daniel H. Gottlieb, On fibre spaces and the evaluation map, Ann. of Math. (2) 87 (1968), 42 – 55. · Zbl 0173.25901
[8] Daniel Henry Gottlieb, Evaluation subgroups of homotopy groups, Amer. J. Math. 91 (1969), 729 – 756. · Zbl 0185.27102
[9] Daniel H. Gottlieb, The evaluation map and homology, Michigan Math. J. 19 (1972), 289 – 297. · Zbl 0232.55016
[10] I. M. James, The space of bundle maps, Topology 2 (1963), 45 – 59. · Zbl 0114.39904
[11] John Milnor, Construction of universal bundles. II, Ann. of Math. (2) 63 (1956), 430 – 436. · Zbl 0071.17401
[12] -, Lectures on characteristic classes, Princeton University, Princeton, N. J., 1957 (mimeographed).
[13] Anthony Phillips, Submersions of open manifolds, Topology 6 (1967), 171 – 206. · Zbl 0204.23701
[14] E. Spanier, Infinite symmetric products, function spaces, and duality, Ann. of Math. (2) 69 (1959), 142 – 198[ erratum, 733. · Zbl 0086.37401
[15] Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. · Zbl 0145.43303
[16] Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. · Zbl 0054.07103
[17] N. E. Steenrod, Milgram’s classifying space of a topological group, Topology 7 (1968), 349 – 368. · Zbl 0177.51601
[18] T. E. Stewart, Lifting group actions in fibre bundles, Ann. of Math. (2) 74 (1961), 192 – 198. · Zbl 0116.40502
[19] R. Thom, L’homologie des espaces fonctionnels, Colloque de topologie algébrique, Louvain, 1956, Georges Thone, Liège; Masson & Cie, Paris, 1957, pp. 29 – 39 (French). · Zbl 0077.36301
[20] Stephen Weingram, On the incompressibility of certain maps, Ann. of Math. (2) 93 (1971), 476 – 485. · Zbl 0214.49904
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