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Definable Ramsey and definable Erdös ordinals
Authors:Evangelos Kranakis
Institution:1. Mathematisches Institut der Universit?t, Im Neuenheimer Feld 288/294, D-6900, Heidelberg 1, Germany
Abstract:This paper studies the relation between definable Ramsey ordinals and constructible sets which have a certain set of indiscernibles. It is shown that an ordinal κ is Σ1-Ramsey if and only if κ is ∑ω-Ramsey. Similar results are obtained for definable Erdös ordinals.
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