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ArticleOriginal scientific text

Title

ℳ-rank and meager types

Authors 1

Affiliations

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

Abstract

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.

Bibliography

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

Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm146/fm14623.pdf

Fundamenta Mathematicae
1994-1995/146/2
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Pages:
121-139
Main language of publication
English
Received
1993-05-05
Accepted
1994-04-29
Published
1995
Exact and natural sciences