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Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions

Bingham, N. H. and Ostaszewski, Adam (2007) Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions. LSE-CDAM-2007-15. London school of economics and political science, London, UK.

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Abstract

We show that the No Trumps combinatorial property, introduced for the study of the foundations of regular variation in LSE-CDAM-2006-22, permits natural extensions of the theorems of Steinhaus and Ostrowski, wherein the classical restrictions of measurability, or the Baire property, are generalized. Keywords: No Trumps Principle, automatic continuity, di¤erence set, Ramsey theory.

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-2007-15
Date Deposited: 10 Jul 2008 09:06
URL: http://eprints.lse.ac.uk/6822/

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