Uniformly completely Ramsey sets
Darji, Udayan
Colloquium Mathematicae, Tome 66 (1993), p. 163-171 / Harvested from The Polish Digital Mathematics Library
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Galvin and Prikry defined completely Ramsey sets and showed that the class of completely Ramsey sets forms a σ-algebra containing open sets. However, they used two definitions of completely Ramsey. We show that they are not equivalent as they remarked. One of these definitions is a more uniform property than the other. We call it the uniformly completely Ramsey property. We show that some of the results of Ellentuck, Silver, Brown and Aniszczyk concerning completely Ramsey sets also hold for uniformly completely Ramsey sets. We also investigate the relationships between uniformly completely Ramsey sets, universally measurable sets, sets with the Baire property in the restricted sense and Marczewski sets.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210181 
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     pages = {163-171},
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Darji, Udayan. Uniformly completely Ramsey sets. Colloquium Mathematicae, Tome 66 (1993) pp. 163-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p163bwm/

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