Topological properties defined by games and their applications

DOI10.1016/S0166-8641(01)00168-7zbMath1010.54018MaRDI QIDQ697590

Jiling Cao, Ivan L. Reilly, Moors, Warren B.

Publication date: 17 September 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

closed mapkernelupper semicontinuous\({\mathcal G}({\mathcal F})\)-gameactive boundaryproperty \((\ast\ast)\)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Special maps on metric spaces (54E40) Stratifiable spaces, cosmic spaces, etc. (54E20)

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New types of winning strategies via compact spaces ⋮ Generalized metric properties and kernels of set-valued maps ⋮ Inherent compactness of upper continuous set valued maps

Cites Work

• Metric characterizations of upper semicontinuity
• The Ellis theorem and continuity in groups
• Boundaries of and selectors for upper semi-continuous multi-valued maps
• On a theorem of Choquet and Dolecki
• On structure of upper semicontinuity
• On the Choquet-Dolecki theorem
• The Weak Topology of a Banach Space
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