Hechler's theorem for the meager ideal

Tomek Bartoszynski; Masaru Kada

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Hechler's theorem for the meager ideal

Tomek Bartoszynski·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 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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BibTeX RIS

Tomek Bartoszynski, Masaru Kada. 2003-07-29. Hechler's theorem for the meager ideal. https://arxiv.org/abs/math/0209086

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