ON A THEOREM OF ARVANITAKIS

DOI10.1112/S0025579312001040zbMath1310.54009arXiv1108.2695MaRDI QIDQ4911035

Vesko M. Valov

Publication date: 13 March 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2695

zbMATH Keywords

selectionlower semicontinuityset-valued mappingextension of a mapzero-dimensional selection

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Spaces of vector- and operator-valued functions (46E40) Set-valued operators (47H04) Selections in general topology (54C65) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items

Integral functionals on nonseparable Banach spaces with applications ⋮ A UNIFIED APPROACH TO CONTINUOUS, MEASURABLE SELECTIONS, AND SELECTIONS FOR HYPERSPACES

Cites Work

• Continuous selections. I
• Continuous selections. II
• Linear operators with compact supports, probability measures and Milyutin maps
• Dugundji extension theorems for linearly ordered spaces
• On zero-dimensional Milutin maps and Michael selection theorems
• An extension of Tietze's theorem

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