Compressibility: A property of topological spaces related to abstract convexity

DOI10.1016/0022-247X(91)90357-6zbMath0776.54002MaRDI QIDQ1190314

Andrzej Wieczorek

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

continuous selectionsconvex hullcompressibilityKKM-propertyKnaster-Kuratowski-Mazurkiewicz property

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Games involving topology, set theory, or logic (91A44) Fixed-point and coincidence theorems (topological aspects) (54H25) Topological spaces and generalizations (closure spaces, etc.) (54A05) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (2)

Abstract Convexity, Some Relations and Applications ⋮ The Kakutani property and the fixed point property of topological spaces with abstract convexity

Cites Work

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• Contractibility and generalized convexity
• Simplicial convexity and its applications
• Kakutani property of the polytopes implies Kakutani property of the whole space
• The Kakutani property and the fixed point property of topological spaces with abstract convexity
• Fixed points for Kakutani factorizable multifunctions
• A Selection Theorem for Topological Convex Structures
• Some Theorems on Equiconnected and Locally Equiconnected Spaces
• Locally equiconnected spaces and absolute neighborhood retracts
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• A Convex Metric with Unique Segments
• Fixed Point Theorems for Multi-Valued Transformations
• A fixed-point theorem for trees

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