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Global analysis and economics. Pareto optimum and a generalization of Morse theory. (English) Zbl 0312.90007


MSC:

91B60 Trade models
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
90C30 Nonlinear programming
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[1] Abraham, R. and Robbin, J., Transversal Mappings and Flows, Benjamin, New York, 1967. · Zbl 0171.44404
[2] Calabi, E., ?Quasi-Surjective Mappings and a Generalization of Morse Theorem?, in The Proceedings of the United States-Japan Seminar in Differential Geometry, Kyoto, Japan, Nippon Hyoronsha, Tokyo, 1966. · Zbl 0151.32003
[3] Debreu, G., Theory of Value, John Wiley, New York, 1959. · Zbl 0193.20205
[4] Levine, H., ?Singularites of Differentiable Mappings?, Math. Inst. der Univ. Bonn, Bonn, 1959. · Zbl 0093.01502
[5] Levine, H., ?The singularities, S 1 q ?, Ill. Jour. of Math. 8 (1964), 152-168. · Zbl 0124.38801
[6] Smale, S., ?Morse Inequalities for a Dynamical System?, Bull. Amer. Math. Soc. 66 (1960), 43-49. · Zbl 0100.29701 · doi:10.1090/S0002-9904-1960-10386-2
[7] Thom, R., Local Topological Properties of Differentiable Mappings, Differential Analysis, Oxford Univ. Press, Oxford, 1964. · Zbl 0151.32002
[8] Whitney, H., ?The singularities of mapping of Euclidean spaces. I. Mappings of the plane into the plane?, Ann. of Math. 62 (1955), 374-410. · Zbl 0068.37101 · doi:10.2307/1970070
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