The distributivity numbers of of P(om) /fin and its square

Mathematics – Logic

Scientific paper

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Scientific paper

We show that in a model obtained by forcing with a countable support
iteration of length omega_2 of Mathias forcing h(2), the distributivity number
of r.o.(P(omega)/fin)^2, is omega_1 but h, the one of P(omega)/fin, is
omega_2.

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