Sh:838

• Shelah, S. (2009). Non-structure in \lambda^{++} using instances of WGCH. In Classification theory for abstract elementary classes II. arXiv: 0808.3020
  Ch. VII of [Sh:i]
• Abstract:
  Here we try to redo, improve and continue the non-structure parts in some works on a.e.c., which uses weak diamond, in \lambda^+ and \lambda^{++} getting better and more results and do what is necessary for the book on a.e.c. So we rework and improve non-structure proofs from [Sh:87b, §6], [Sh:88r] (or [Sh:88]), [Sh:E46], (or [Sh:576], [Sh:603]) and fulfill promises from [Sh:88r], [Sh:600], [Sh:705]. Comparing with [Sh:576] we make the context closer to the examples, hence hopefully improve transparency, though losing some generality. Toward this we work also on the positive theory, i.e. structure side of “low frameworks" like almost good \lambda-frames.
• No downloadable versions available.

@inbook{Sh:838,
 author = {Shelah, Saharon},
 title = {{Non-structure in $\lambda^{++}$ using instances of WGCH}},
 booktitle = {{Classification theory for abstract elementary classes II}},
 year = {2009},
 note = {\href{https://arxiv.org/abs/0808.3020}{arXiv: 0808.3020} Ch. VII of [Sh:i]},
 arxiv_number = {0808.3020},
 refers_to_entry = {Ch. VII of [Sh:i]}
}