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The Game of Hex and the Brouwer Fixed-Point Theorem

Year of Award: 1980

Publication Information: The American Mathematical Monthly, vol. 86, 1979, pp. 818-827

  Summary: The author's main purpose is "to show that a classical result of topology, the celebrated Brower Fixed-Point Theorem, is an easy consequence of the fact that Hex, a game which is probably familiar to many mathematicians, cannot end in a draw."

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About the Author: (from The American Mathematical Monthly, vol. 86, (1979)) David Gale received his Ph.D. from Princeton in 1949, taught at Brown from 1950 to 1966, and since 1966 has been Professor of Mathematics, Economics, and Operations Research at Berkeley. He has been a Fulbright Research Scholar, a Guggenheim Fellow, and an NSF Senior Fellow. Besides the interests indicated by the title of his professorship, he is interested in the theory of games, the geometry of convex sets, and combinatorics.

 

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David Gale
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David Gale
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Wednesday, September 24, 2008
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The author's main purpose is "to show that a classical result of topology, the celebrated Brower Fixed-Point Theorem, is an easy consequence of the fact that Hex, a game which is probably familiar to many mathematicians, cannot end in a draw."

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