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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.
Item Metadata
Title |
Computability and the Denjoy Hierarchy
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-12-09T11:00
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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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Extent |
43.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Victoria University of Wellington
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Series | |
Date Available |
2019-03-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376579
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International