Embedding partially ordered sets into $^ω ω$
Volume 151 / 1996
Fundamenta Mathematicae 151 (1996), 53-95
DOI: 10.4064/fm-151-1-53-95
Abstract
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 $H_E$ 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).
