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Duality and the Kestelman-Borwein-Ditor theorem

By N. H. Bingham and Adam Ostaszewski

Abstract

We deduce both the measure and the category cases of the theorem in the title from one category theorem, using the density topology for the first and the usual Euclidean topology for the second. We also obtain a unified proof for the Uniform Convergence Theorem for slowly varying functions

Topics: H Social Sciences (General)
Publisher: London school of economics and political science
Year: 2007
OAI identifier: oai:eprints.lse.ac.uk:6841
Provided by: LSE Research Online
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