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Duality and the Kestelman-Borwein-Ditor theorem

Bingham, N. H. and Ostaszewski, Adam (2007) Duality and the Kestelman-Borwein-Ditor theorem. LSE-CDAM-2007-29. London school of economics and political science, London, UK.

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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.

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk/Reports/
Additional Information: © 2007 London school of economics and political science
Library of Congress subject classification: H Social Sciences > H Social Sciences (General)
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSE-CDAM-2007-29
Date Deposited: 10 Jul 2008 08:33
URL: http://eprints.lse.ac.uk/6841/

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