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Hechler's theorem for the null ideal

Maxim R. Burke·Masaru Kada
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Abstract

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 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, and the statement of the theorem for the meager ideal has been already proved by Bartoszynski and the author.

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BibTeXRIS

Maxim R. Burke, Masaru Kada. 2004-02-22. Hechler's theorem for the null ideal. https://doi.org/10.1007/s00153-004-0224-4

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