Algebraic Geometry and Topology: A Symposium in Honor of S. by Edited by R. H. Fox, D. C. Spencer, A. W. Tucker

Algebraic Geometry and Topology: A Symposium in Honor of S. by Edited by R. H. Fox, D. C. Spencer, A. W. Tucker

By Edited by R. H. Fox, D. C. Spencer, A. W. Tucker

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1928 [40] Transcendental theory ; Singular correspondences between algebraic curves ; Hyperelliptic surfaces and Abelian varieties. Chap. 15-17, p. 310-395, vol. 1, of Selected Topics in Algebraic Geometry; Report of the Com- mittee on Rational Transformations of the National Research Council. Washington (NRC Bulletin no. 63). A theorem on correspondences on algebraic curves. Amer. , 50: 159-166. [42] Closed point sets on a manifold. Ann. of Math. (2), 29: 232-254. [41] 1929 Paris, Gauthier66 pp.

I was aware at the time of the advantages of the Lefschetz method; but it seemed to have no obvious extension to cover the new products. experimented fruitlessly with possible external cross-i-products. Subsequent experiments of a different nature gradually revealed what I should have done. The external cross-product must be left untouched; it is the diagonal map d which must be generalized. This is done as follows. If x K-+K into the second is any complex, the projection A -> x K. Let x factor can be composed with d to give a map d\ I W : W : W K K n be the group of order of K x K IfW .

Colloquium Publications, vol. ) [80] Topics in Topology. Princeton University Press. 137 pp. (Annals of Mathematics Studies, no. 10). A second printing, 1951. London, [79] Algebraic Topology. Oxford University Press. [81] timile Picard (1866-1941): Obituary. Amer. Phil. Soc. Yearbook 1942, pp. 363-365. 1943 [82] Introduction to Non-linear Mechanics, by N. Kryloff and N. Bogoliuboff a free translation by S. Lefschetz of excerpts from two Russian monographs.

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