• Corpus ID: 16673778

COMPACT SETS WITHOUT CONVERGING SEQUENCES IN THE RANDOM REAL MODEL

@inproceedings{Dow2000COMPACTSW,
  title={COMPACT SETS WITHOUT CONVERGING SEQUENCES IN THE RANDOM REAL MODEL},
  author={Alan Dow and D. H. Fremlin},
  year={2000}
}
It is shown that in the model obtained by adding any number of random reals to a model of CH, there is a compact Hausdor space of weight !1 which contains no non-trivial converging sequences. It is shown that for certain spaces with no converging sequences, the addition of random reals will not add any converging sequences. 
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