Conceptual machines which demonstrate the existence of Brouwer fixed points |
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Authors: | M D Troutt |
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Institution: | (1) Department of Management, Southern Illinois University, Carbondale, Illinois |
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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. |
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Keywords: | Fixed points mechanical analog |
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