Global analysis and economics. Pareto optimum and a generalization of Morse theory

DOI10.1007/BF00485983zbMath0312.90007OpenAlexW1520338983MaRDI QIDQ1219767

Stephen Smale

Publication date: 1975

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00485983

Mathematics Subject Classification ID

Nonlinear programming (90C30) Trade models (91B60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (5)

Application of the \(\Lambda\)-monotonicity to the search for optimal solutions in higher-dimensional problems ⋮ Remarks on quadratic mappings ⋮ Twenty years of continuous multiobjective optimization in the twenty-first century ⋮ Bifiltrations and persistence paths for 2-Morse functions ⋮ Relative-perfectness of discrete gradient vector fields and multi-parameter persistent homology

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• The singularities \(S_ 1^ q\)
• Note on an Identity of Cayley
• Morse inequalities for a dynamical system
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