Forcings constructed along morasses

Details Forcings constructed along morasses Forcings constructed along morasses

2008-10-31

arxiv.org/abs/0810.5641v3

Mathematics

Logic

accepted for the Journal of Symbolic Logic, various minor changes were made to the previous version

Scientific paper

In a previous paper, we introduced a way of constructing a forcing along a
simplified gap-1 morass such that the forcing satisfies a chain condition. Now,
we generalize this to gap-2 morasses. As an application, we prove that GCH is
consistent with the existence of a 0-dimensional Hausdorff topology on
$\omega_3$ which has spread $\omega_1$.

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