Hechler's theorem for the meager ideal

Mathematics – Logic

Scientific paper

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some minor corrections

Scientific paper

We prove the following theorem: For a partially ordered set Q such that every
countable subset has a strict upper bound, there is a forcing notion satisfying
ccc such that, in the forcing model, there is a basis of the meager ideal of
the real line which is order-isomorphic to Q with respect to set-inclusion.
This is a variation of Hechler's classical result in the theory of forcing.

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