The Banach-Mazur game and generic existence of solutions to optimization problems
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- by P. S. Kenderov and J. P. Revalski PDF
- Proc. Amer. Math. Soc. 118 (1993), 911-917 Request permission
Abstract:
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 $X$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 911-917
- MSC: Primary 49J27; Secondary 90C48, 90D44
- DOI: https://doi.org/10.1090/S0002-9939-1993-1137224-0
- MathSciNet review: 1137224