Rigid $ℵ_ε$ -saturated models of superstable theories

• Autorzy: Ziv Shami , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

In a countable superstable NDOP theory, the existence of a rigid $ﬡ_ε$-saturated model implies the existence of $2^λ$ rigid $ﬡ_ε$-saturated models of power λ for every $λ > 2^{ﬡ_0}$.

Kategorie tematyczne

• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 162
• Numer: 1
• Strony: 37-46

Daty

wydano

1999

otrzymano

1996-05-21

poprawiono

1997-10-27

poprawiono

1998-12-24

poprawiono

1999-04-20

Twórcy

autor

Ziv Shami

• Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556-5683, U.S.A.

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University, Jerusalem, Israel

Bibliografia

• [B] J. T. Baldwin, Fundamentals of Stability Theory, Springer, 1988.
• [Sh-401] S. Shelah, Characterizing an $ﬡ_ε$-saturated model of superstable NDOP theories by its $L_{∞, ﬡ_ε}$(d.q)-theory, preprint, 1992.
• [Sh-C] S. Shelah, Classification Theory and the Number of Non-Isomorphic Models, rev. ed., North-Holland, Amsterdam, 1990.