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On completely Ramsey sets. (English) Zbl 0632.04005

We consider completely Ramsey sets. Our main result says that the union of less than \(\kappa (N^*)\) of completely Ramsey sets is completely Ramsey and the union of \(\kappa (N^*)\) of completely Ramsey sets can be a set which is not completely Ramsey.

MSC:

03E15 Descriptive set theory
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