ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXVI, 2 (2007)
p. 161 - 171
Compact Sets without Converging Sequences in the Random Real Model
A. Dow and D. Fremlin
Abstract.
It is shown that in the model obtained by adding any number of
random reals to a model of CH, there is a compact Hausdorff
space of weight w1 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.
Keywords:
random reals, converging sequences, Efimov problem.
AMS Subject classification. Primary: 54A25;
Secondary: 03E35 54D30
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Acta Mathematica Universitatis Comenianae
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