Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions

(2007) Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions. Technical Report. London School of Economics and Political Science, London, UK.

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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, di¤erence set, Ramsey theory.

Item Type	Report (Technical Report)
Departments	Mathematics
Date Deposited	10 Jul 2008 09:06
URI	https://researchonline.lse.ac.uk/id/eprint/6822

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