zbMATH — the first resource for mathematics

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
Full Text:
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
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.