On Lipschitz selections of affine-set valued mappings
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Publication:5955173
DOI10.1007/PL00001687zbMath1014.54014MaRDI QIDQ5955173
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Publication date: 17 July 2003
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Hilbert spaceselectionset-valued mappingLipschitz conditionaffine subsetsHelly intersection theoremWhitney extension problem
Set-valued maps in general topology (54C60) Selections in general topology (54C65) Extension of maps (54C20) Helly-type theorems and geometric transversal theory (52A35)
Related Items (12)
Barycentric selectors and a Steiner-type point of a convex body in a Banach space ⋮ Sharp finiteness principles for Lipschitz selections ⋮ Finiteness principles for smooth selection ⋮ Smooth selection for infinite sets ⋮ \(C^2\) interpolation with range restriction ⋮ Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\) ⋮ The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces ⋮ Representations of affine multifunctions by affine selections ⋮ Multivalent maps with second-order modulus of continuity ⋮ An existence criterion for a smooth function under constraints ⋮ On the core of a low dimensional set-valued mapping ⋮ Lipschitz selections of set-valued mappings and Helly's theorem
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