On zero-dimensional Milutin maps and Michael selection theorems

DOI10.1016/0166-8641(93)90052-FzbMath0794.54023OpenAlexW2070590979MaRDI QIDQ1314668

Dušan D. Repovš, Pavel V. Semenov, Evgeny V. Shchepin

Publication date: 27 March 1994

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90052-f

zbMATH Keywords

selection theorem

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Function spaces in general topology (54C35) Selections in general topology (54C65) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Spaces of operators; tensor products; approximation properties (46B28)

Related Items

On exact Milyutin mappings ⋮ ON A THEOREM OF ARVANITAKIS ⋮ Linear operators with compact supports, probability measures and Milyutin maps ⋮ Continuous selections as parametrically defined integrals ⋮ Approximations of upper semicontinuous maps on paracompact spaces ⋮ Note on \(K\)-analyticity and normality in function spaces

Cites Work

• Continuous selections. I
• Continuous selections. II
• A theorem on semi-continuous set-valued functions
• Selected Selection Theorems
• Convex Structures and Continuous Selections
• Application of a Selection Theorem to Hyperspace Contractibility
• Averaging Operators in C(S) and Lower Semicontinuous Sections of Continuous Maps
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