ℳ-rank and meager types

• Autorzy: Ludomir Newelski
• Języki publikacji: EN

Abstrakty

EN

Assume T is superstable and small. Using the multiplicity rank ℳ we find locally modular types in the same manner as U-rank considerations yield regular types. We define local versions of ℳ-rank, which also yield meager types.

Kategorie tematyczne

• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994-1995
• Tom: 146
• Numer: 2
• Strony: 121-139

Daty

wydano

1995

otrzymano

1993-05-05

poprawiono

1994-04-29

Twórcy

autor

Ludomir Newelski

• Institute of Mathematics, Polish Academy of Sciences, Kopernika 18, 51-617 Wrocław, Poland

Bibliografia

• [Ba] J. T. Baldwin, Fundamentals of Stability Theory, Springer, 1988.
• [Hr-Sh] E. Hrushovski and S. Shelah, A dichotomy theorem for regular types, Ann. Pure Appl. Logic 45 (1989), 157-169.
• [Ne1] L. Newelski, A model and its subset, J. Symbolic Logic 57 (1992), 644-658.
• [Ne2] L. Newelski, Meager forking, Ann. Pure Appl. Logic, to appear.
• [Pi] A. Pillay, Certain locally modular regular superstable groups, preprint, 1992.
• [Sh] S. Shelah, Classification Theory, 2nd ed., North-Holland, 1990.