Refinement of The Notion of Choice Function
A function is said to be a selection of a multivalued map φ:A → B ( that is, a function from A to the power set ), if
The existence of more regular choice functions, namely continuous or measurable selections (see: ) is important in the theory of differential inclusions, optimal control, and mathematical economics.
Read more about this topic: Choice Function
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—Penelope Leach (20th century)
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