# Sh:603

• Shelah, S. (2002). Few non minimal types on non structure. In In the Scope of Logic, Methodology and Philosophy of Science . Volume One of the 11th International Congress of Logic, Methodology and Philosophy of Science, Cracow, August 1999, Vol. 1, Springer Netherlands, pp. 29–53. arXiv: math/9906023
• Abstract:
We pay two debts from [Sh:576]. The main demands little knowledge from [Sh:576], just quoting a model theoretic consequence of the weak diamond. We assume that \mathfrak{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 \ne \aleph_0, it is minor as for this case by [Sh:88] we “usually” know more.
• Version 2004-05-28_10 (35p)
Bib entry
@incollection{Sh:603,
author = {Shelah, Saharon},
title = {{Few non minimal types on non structure}},
booktitle = {{In the Scope of Logic, Methodology and Philosophy of Science . Volume One of the 11th International Congress of Logic, Methodology and Philosophy of Science, Cracow, August 1999}},
volume = {1},
year = {2002},
pages = {29--53},
isbn = {978-1-4020-0929-7},
publisher = {Springer Netherlands},
note = {\href{https://arxiv.org/abs/math/9906023}{arXiv: math/9906023}},
arxiv_number = {math/9906023}
}