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Becker, J. C.; Gottlieb, Daniel H.

Applications of the evaluation map and transfer map theorems. (English) Zbl 0275.55027

Math. Ann. 211, 277-288 (1974).
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Cited in 11 Documents

MSC:

55R10 Fiber bundles in algebraic topology
57N65 Algebraic topology of manifolds
57R35 Differentiable mappings in differential topology
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\textit{J. C. Becker} and \textit{D. H. Gottlieb}, Math. Ann. 211, 277--288 (1974; Zbl 0275.55027)
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References:

[1] Becker, J.C., Gottlieb, D. H.: The transfer map and fibre bundles. Topology (to appear) · Zbl 0306.55017
[2] Borel, A.: Seminar on transformation groups. Annals of Math. Studies, No. 46. Princeton, New Jersey: Princeton University Press 1960 · Zbl 0091.37202
[3] Borel, A., Herzebruch, F.: Characteristic classes and homogeneous spaces, Part I. American Journal of Mathematics, Vol.80, 459-538 (1958) · Zbl 0097.36401
[4] Bott, R.: On torsion in Lie groups. Proc. Nat. Acad. Sci. U.S.A. 586-588 (1954) · Zbl 0057.02201
[5] Bredon, G.E.: Introduction to compact transformation groups. New York: Academic Press 1972 · Zbl 0246.57017
[6] Brown, R.F.: On the Lefschetz number and the Euler class. Trans. Amer. Math. Soc., Vol.118, 174-179 (1965) · Zbl 0129.39301
[7] Conner, P.E., Floyd, E.E.: Differentiable periodic maps. New York: Academic Press 1964 · Zbl 0125.40103
[8] Ehresmann, Ch.: Sur les espaces fibres differentiables. C.R. Acad. Sci. Paris224, 1611-1612 (1947) · Zbl 0029.42001
[9] Gottlieb, D.H.: Evaluation subgroups of homotopy groups. Amer. J. Math., Vol.91, 729-756 (1969) · Zbl 0185.27102
[10] Gottlieb, D.H.: Applications of bundle map theory. Trans. Amer. Math. Soc., Vol.171, 23-50 (1972) · Zbl 0251.55018
[11] Gottlieb, D.H.: The evaluation map and homology. Michigan Mathematical Journal, Vol.19, 289-297 (1972) · Zbl 0232.55016
[12] Gottlieb, D.H.: Witnesses, transgressions, and the evaluation map. Indiana Univ. Math. J. (to appear) · Zbl 0299.55007
[13] Gottlieb, D.H.: Fibre bundles and the Euler characteristic. J. Differential Geometry (to appear March 1975) · Zbl 0294.55009
[14] Hopf, H., Samelson, H.: Ein Satz über den Wirkungsraum geschlossener Liescher Gruppen. Comment. Math. Helv.13, 240-251 (1940-41) · Zbl 0025.23704
[15] Palais, R.S., Stewart, Th.E.: The cohomology of differentiable transformation groups. Amer. J. Math., Vol.83, 623-643 (1961) · Zbl 0104.17703
[16] Spanier, E.H.: Algebraic topology. New York: McGraw-Hill 1966 · Zbl 0145.43303
[17] Stewart, T.E.: Lifting group actions in fibre bundles. Ann. of Math.74 (2), 192-198 (1961) · Zbl 0116.40502
[18] Seminaire Henri Cartan. 1959/60, Exposé 5
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