I. Juhász, L. Soukup, Z. Szentmiklóssy:
Combinatorial principles from adding Cohen reals
In this paper we first formulate several ``combinatorial principles''
concerning kappa \times omega matrices of subsets of
omega and prove that they are valid in the generic extension
obtained by adding any number of
Cohen reals to any ground model V, provided that the parameter
kappa is an
omega-inaccessible regular cardinal in V.
Then in section 4
we present a large number of applications of these principles,
mainly to topology. Some of these consequences had been
established earlier in generic extensions obtained by adding
omega_2 Cohen reals
to ground models satisfying CH,
mostly for the case kappa=omega_2.
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