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5 Bourbaki, N., Elments de Mathematique, Premiere partie, Livre III, Chap. IV, §4, Hermann, Paris, 1942. 6 Eilenberg, S., and Montgomery, D., "Fixed Point Theorems for Multi-valued Transformations," Am. J. Math., 68, 214-222 (1946). 7 Kakutani, S., "A Generalization of Brouwer's Fixed Point Theorem," Duke Math. J., 8, No. 3, 457-459 (September, 1941). 8 Nash, John F., "Equilibrium Points in N-Person Games," PROC. NATL. ACAD. ScI. 36, 48-49 (1950). 9 Neumann, J. von, "Zur Theorie der Gesellschaftsspiele," Math. Ann., 100, 295-320 (1928). 10 Neumann, J. von, "Uber ein okonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes," Ergebnisse eines Mathematischen Kolloquiums, 8, 73-83 (1937), (translated in Rev. Economic Studies, XIII, No. 33, 1-9 (1945-46). 11 Neumann, J. von, and Morgenstern, O., Theory of Games and Economic Behavior, 2nd ed:, Princeton University Press, Princeton, 1947 (lst ed., 1944).

proceedings of the national academy of sciences of the united states of america

A Relation between Poles and Zeros of a Simple Meromorphic Differential Form and a Calculation of Chern's Characteristic Classes of an Algebraic Variety