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BIRS Workshop Lecture Videos

Computability and the Denjoy Hierarchy Westrick, Linda Brown

Description

Denjoy defined a method of integration which generalizes Lebesgue integration. The functions obtainable by Denjoy integration are continuous and belong to a transfinite hierarchy, where the height in the hierarchy is determined uniquely by the number of steps of Denjoy integration needed to produce the function. We discuss effective properties of this hierarchy.

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