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The Banach-Mazur Game and Generic Existence of Solutions to Optimization Problems
P. S. Kenderov and J. P. Revalski
Proceedings of the American Mathematical Society
Vol. 118, No. 3 (Jul., 1993), pp. 911-917
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2160141
Page Count: 7
You can always find the topics here!Topics: Games, Topological theorems, Mathematical problems, Topological spaces, Mathematical functions, Completely regular spaces, Mathematical theorems, Mathematical minima, Mathematical sequences
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The existence of a winning strategy in the well-known Banach-Mazur game in a completely regular topological space X is proved to be equivalent to the generic existence of solutions of optimization problems generated by continuous functions in X.
Proceedings of the American Mathematical Society © 1993 American Mathematical Society