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Topological games and optimization problems

Part of: Linear function spaces and their duals

Published online by Cambridge University Press:  26 February 2010

Gabriel Debs  and
Jean Saint Raymond
Gabriel Debs
Affiliation:
Equipe d'Analyse, Université Paris 6, 4, Place Jussieu, 75252 Paris Cedex 05, France
Jean Saint Raymond
Affiliation:
Equipe d'Analyse, Université Paris 6, 4, Place Jussieu, 75252 Paris Cedex 05, France
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Extract

Let X be a completely regular space, and Cb(X) the space of all bounded continuous real valued functions on X equipped with the metric associated to the uniform norm. For f∈Cb(X) and γ∈¡ we use the following standard notations: inf(f) = infx∈Xf(x) and {f<γ} = {x∈X:f(x)<γ}

MSC classification

Secondary: 46E15: Banach spaces of continuous, differentiable or analytic functions
Type
Research Article
Information
Mathematika , Volume 41 , Issue 1 , June 1994 , pp. 117 - 132
Copyright
Copyright © University College London 1994

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References

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