TY - BOOK ID - 1126966 TI - Topological methods in Walrasian economics PY - 1974 VL - 92 SN - 3540066225 0387066225 3642658008 9783540066224 PB - Berlin : Springer-Verl., DB - UniCat KW - Topology KW - Walras, Léon KW - Economics, Mathematical KW - 330.105 KW - Wiskundige economie. Wiskundige methoden in de economie KW - Business & Economics KW - Economic Theory KW - 330.105 Wiskundige economie. Wiskundige methoden in de economie KW - Walras, Léon, KW - Differentiable mappings KW - Applications différentiables KW - Singularities (Mathematics) KW - Singularités (mathématiques) KW - Critical point theory (Mathematical analysis) KW - Points critiques, Théorie des (analyse mathématique) KW - Differential topology KW - Topologie différentielle KW - Singularités (mathématiques) KW - Topologie différentielle KW - Differentiable mappings. KW - Applications différentiables KW - Points critiques, Théorie des (analyse mathématique) KW - Point fixe, Théorème du KW - Walras, Léon, - 1834-1910. KW - Economie mathematique KW - Equilibre (economie politique) KW - Modeles mathematiques UR - https://www.unicat.be/uniCat?func=search&query=sysid:1126966 AB - In winter 71/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo mics at the university of Bonn , w.Germany1~ The economists , how ever , had a mathematical background well above the average • Most of the material treated in that seminar is described in these notes. The connection between smooth preferences and smooth demand func tions [ see Debreu (1972) ] and regular economies based on agents with smooth preferences are not presented here • Some pedagogical difficulties arose from the fact that elementary knowledge of algebraic topology is not assumed although it is helpful and indeed necessary to make some arguments precise • It is only a minor restriction , at present , that functional ana lysis is not used • But with the development of the theory more economic questions will be considered in their natural infinite dimensional setting • Economic knowledge is not required , but especially a reader without economic background will gain much by reading Debreu's classic "Theory of Value" (1959) • Although the formulation of our economic problem uses a map between Euclidean spaces only , we shall also consider ma- folds • Manifolds appear in our situation because inverse images under differentiable mappings between Euclidean spaces are very often differentiable manifolds • ( Under differentiability assump tions , for instance , the graph of the equilibrium set correspon. ER -