On functions of nonconvexity for graphs of continuous functions

DOI10.1006/jmaa.1995.1458zbMath0878.46014OpenAlexW2007081929MaRDI QIDQ1910110

Pavel V. Semenov, Dušan D. Repovš

Publication date: 8 January 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1458

zbMATH Keywords

convexitylower semicontinuitymultivalued mapdegree of non-convexitygraphs of polynomialsMichael Selection Theorem

Mathematics Subject Classification ID

Selections in general topology (54C65) Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (8)

Paraconvexity and continuous selections ⋮ Sections of convex bodies and splitting problem for selections ⋮ On controlled extensions of functions. ⋮ Selections, paraconvexity and PF-normality ⋮ Local paraconvexity and local selection theorems ⋮ On continuous choice of retractions onto nonconvex subsets ⋮ Nonconvexity in problems of multivalued calculus ⋮ On strong approximations of usc nonconvex-valued mappings

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