Forcing countable networks for spaces satisfying $R(x^\omega)=\omega$

by I.Juhasz and L.Soukup and Z.Szentmiklossy. [:D27]
CMUC, 1995
From the paper: ``(...) we use a result of Shelah (the proof of which presented here with his kind permission) saying that in any generic extension by Cohen reals the ideal of the first category subspaces of a space from the ground model is generated by the subspaces of first category from the ground model.

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