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Vietoris-Begle’s mapping theorem, Vietoris-Lefschetz-Eilenberg-Montgomery-Begle’s fixed-point theorem and Nobel prizes in economics. (Vietoris-Beglesches Abbildungstheorem, Vietoris-Lefschetz-Eilenberg-Montgomery-Beglescher Fixpunktsatz und Wirtschaftsnobelpreise.) (German) Zbl 0987.55001
The paper gives a survey of how Vietoris’s mapping theorem stands at the beginning of a row of fixed-point theorems leading to Nash’s equilibrium theorem.
MSC:
55-03 History of algebraic topology
01A60 History of mathematics in the 20th century
55N30 Sheaf cohomology in algebraic topology
55M10 Dimension theory in algebraic topology
91B50 General equilibrium theory
91B99 Mathematical economics
91-03 History of game theory, economics, and finance
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