measurable multifunction
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Topological property of the profile of a measurable multifunction with compact convex values

Lecture Notes in Mathematics - Convex Analysis and Measurable Multifunctions ◽

10.1007/bfb0087689 ◽

1977 ◽

pp. 91-123 ◽

Cited By ~ 2

Author(s):

Charles Castaing ◽

Michel Valadier

Keyword(s):

Topological Property ◽

Compact Convex ◽

Measurable Multifunction

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1.—On Measurable Selections

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0080454100009365 ◽

1974 ◽

Vol 72 (1) ◽

pp. 1-7 ◽

Cited By ~ 5

Author(s):

A. P. Robertson

Keyword(s):

Measure Space ◽

Hausdorff Space ◽

Polish Space ◽

Measurable Selection ◽

Selection Theorem ◽

Polish Spaces ◽

Measurable Multifunction ◽

Selection Theorems ◽

Suitable Measure ◽

Separable Metric Space

SynopsisMeasurable selection theorems are proved, for a compact-valued measurable multifunction into a Hausdorff space that is the continuous image of a separable metric space, and for a closed-valued measurable multifunction from a suitable measure space to a regular Souslin space. The connection between Polish spaces and certain subsets of the real line is related to a measurable selection theorem for multifunctions into a Polish space.