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Conceptual machines which demonstrate the existence of Brouwer fixed points
Authors:M D Troutt
Institution:(1) Department of Management, Southern Illinois University, Carbondale, Illinois
Abstract:This note gives a proof of the Brouwer fixed point theorem by appeal to mechanical intuition. A sequence of machines is described for each real dimension greater than unity. As a sufficiently large force is applied to this mechanism, the coordinates of certain components can be made arbitrarily close to positions which are analogs of a fixed point.
Keywords:Fixed points  mechanical analog
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