Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions
Bingham, N. H. & Ostaszewski, A.
(2007).
Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions.
London School of Economics and Political Science.
(2007).
Beyond the theorems of Steinhaus and Ostrowski: combinatorial versions.
London School of Economics and Political Science.
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.