## On the size of closed unbounded sets.(English)Zbl 0746.03040

The problem of determining the size of the closed unbounded subsets of $$[\lambda]^{<\kappa}$$ is reduced to the study of certain stationary sets and further related to combinatorial principles $$Q_ 1$$ and $$Q_ 2$$ and the notion of $$\alpha$$-remarkable cardinals (a weakening of $$\alpha$$-Erdős). Consistency and independence results are obtained connecting these principles to Jensen’s $$\square$$-principles.

### MSC:

 300000 Other combinatorial set theory 3e+35 Consistency and independence results
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### References:

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