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A note on the Ramsey-type theorem of Erdős. (English) Zbl 0734.04003
The author shows that if $$\kappa$$ is an infinite cardinal, then there is a cf($$\kappa$$)-complete filter F such that $$\kappa \nrightarrow (\omega,F^+)$$ holds. If, however, F is normal, then the positive relation is true. Both the results and the proofs have been well known among set theorists since the sixties.
##### MSC:
 300000 Other combinatorial set theory
##### Keywords:
partition relations; filters; stationary sets
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