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Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions

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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, diĀ¤erence set, Ramsey theory.

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en

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http://eprints.lse.ac.uk/6822/

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