Application of a Selection Theorem to Hyperspace Contractibility

DOI10.4153/CJM-1985-040-7zbMath0563.54008MaRDI QIDQ3676802

D. W. Curtis

Publication date: 1985

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convex structureshyperspaces of continuainductively open mapslower semi-continuous set-valued functionMichael's selection theoremsorder arcs in hyperspaces

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Axiomatic and generalized convexity (52A01) Selections in general topology (54C65)

Related Items (13)

\(R^ i\)-continua and hyperspaces ⋮ Admissible fibers and \(T\)-admissibility in hyperspaces ⋮ Whitney levels and certain order arc spaces ⋮ Carathéodory selections and the Scorza Dragoni property ⋮ Hyperspaces of maximal order arcs ⋮ Continuous selections for pseudo-lower semicontinuous set-valued mappings on convex structure spaces and hyperspace contractibility ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A Note on Continuous Mappings and the Property of J. L. Kelley ⋮ Covariant functors in categories of topological spaces ⋮ A Continuum Having its Hyperspaces not Locally Contractible at the Top ⋮ Noncut subsets of the hyperspace of subcontinua ⋮ Nonconvexity in problems of multivalued calculus ⋮ On zero-dimensional Milutin maps and Michael selection theorems

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