Bounded variation and the strength of Helly's selection theorem

We analyze the strength of Helly's selection theorem HST, which is the most important compactness theorem on the space of functions of bounded variation. For this we utilize a new representation of this space intermediate between $L_1$ and the Sobolev space W1,1, compatible with the, so called,...

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Bibliographic Details
Main Author: Alexander P. Kreuzer
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2014-12-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/980/pdf