We investigate some natural questions about the class of posets which can be embedded into ⟨ω,≤*⟩. Our main tool is a simple ccc forcing notion which generically embeds a given poset E into ⟨ω,≤*⟩ and does this in a “minimal” way (see Theorems 9.1, 10.1, 6.1 and 9.2).
@article{bwmeta1.element.bwnjournal-article-fmv151i1p53bwm,
author = {Ilijas Farah},
title = {Embedding partially ordered sets into $^$\omega$ $\omega$$
},
journal = {Fundamenta Mathematicae},
volume = {149},
year = {1996},
pages = {53-95},
zbl = {0861.03039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv151i1p53bwm}
}
Farah, Ilijas. Embedding partially ordered sets into $^ω ω$
. Fundamenta Mathematicae, Tome 149 (1996) pp. 53-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv151i1p53bwm/
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