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A History of Duality in Algebraic Topology by J.C.Becker, D.H.Gottlieb

By J.C.Becker, D.H.Gottlieb

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58, 661–701. Thom, R. (1952), Espaces fibr´ es en sph´ eres et carr´ es de Steenrod, Ann. Ec. Norm. Sup. 69, 109–181. Thom, R. (1954), Quelques propri´ et´ es globales des vari´ et´ es diff´ erentiables, Comment. Math. , 17–86. Wall, C. T. C. (1967), Poincar´ e complexes I, Ann. of Math. 86, 213–245. W. (1956), Homotopy groups of joins and unions, Trans. Amer. Math. Soc. 83, 55–69. W. (1962), Generalized homology theories, Trans. Amer. Math. Soc. 102, 227–283. W. (1983), Fifty years of homotopy theory, Bull.

Sci. USA 31, 177–180. Eilenberg, S. and Steenrod, N. (1952), Foundations of Algebraic Topology, Princeton Univ. Press. 31 Freudenthal, H. (1937), Zum Hopfschen Umkehrhomomorphismus, Ann. of Math. 38, 847–853. Gottlieb, D. (1972), Applications of bundle map theory, Trans. Amer. Math. Soc. 171, 23–50. Gottlieb, D. (1975), Fibre bundles and the Euler characteristic, J. Differential Geometry 10, 39–48. Gottlieb, D. (1983), Transfers, centers, and group cohomology, Proc. Amer. Math. Soc. 89, 157–162.

1974a), The fixed point index of fibre preserving maps, Inventiones Math. 25, 281–297. Dold, A. R. Acad. Sci. Paris, S´ er. A 278, 1291–1293. Dold, A. (1976), The fixed point transfer of fibre-preserving maps, Math. Zeitschr. 148, 215–244. Dold, A. and Puppe, D. (1980), Duality, trace, and transfer, Proceedings of the International Conference on Geometric Topology (Warsaw, 1978), PWN, Warsaw, pp. 81–82. H. (1937), Hopf ’s theorem for non-compact spaces, Proc. Nat. Acad. Sci. USA 23, 293–294. Dwyer, W.

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