THE BANACH-MAZUR GAME AND GENERIC EXISTENCE OF SOLUTIONS TO OPTIMIZATION PROBLEMS

Authors
KENDEROV PS REVALSKI JP
Citation
Ps. Kenderov et Jp. Revalski, THE BANACH-MAZUR GAME AND GENERIC EXISTENCE OF SOLUTIONS TO OPTIMIZATION PROBLEMS, Proceedings of the American Mathematical Society, 118(3), 1993, pp. 911-917
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
118
Issue
3
Year of publication
1993
Pages
911 - 917
Database
ISI
SICI code
0002-9939(1993)118:3<911:TBGAGE>2.0.ZU;2-M
Abstract
The existence of a winning strategy in the well-known Banach-Mazur gam e in a completely regular topological space X is proved to be equivale nt to the generic existence of solutions of optimization problems gene rated by continuous functions in X.