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Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions

By N. H. Bingham and Adam Ostaszewski

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

Topics: H Social Sciences (General)
Publisher: London school of economics and political science
Year: 2007
OAI identifier: oai:eprints.lse.ac.uk:6822
Provided by: LSE Research Online
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