Hechler's theorem for the null ideal

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Title Hechler's theorem for the null ideal
Author(s) Maxim R. Burke, M. Kada
Journal Archive for Mathematical Logic
Date 2004
Volume 43
Issue 5
Start page 703
End page 722
Abstract We prove the following theorem: For a partially ordered set Q such that every countable subset of Q has a strict upper bound, there is a forcing notion satisfying the countable chain condition such that, in the forcing extension, there is a basis of the null 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. The corresponding theorem for the meager ideal was established by Bartoszynski and Kada.
DOI 10.1007/s00153-004-0224-4
arXiv arXiv:math/0211244

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