Few non-minimal types and non-structure
Abstract
We pay two debts from [Sh:576] (math.LO/9805146). The main demands little knowledge from [Sh:576], just quoting a model theoretic consequence of the weak diamond. We assume that K has amalgamation in lambda, and that the minimal types are not dense to get many non-isomorphic models in lambda+. For this also pcf considerations are relevant. The minor debt was the use in one point of [Sh:576] of lambda not= aleph0, it is minor as for this case by [Sh:88] we ``usually'' know more.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.