ℳ-rank and meager types

Ludomir Newelski

Fundamenta Mathematicae (1995)

  • Volume: 146, Issue: 2, page 121-139
  • ISSN: 0016-2736

Abstract

top
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.

How to cite

top

Newelski, Ludomir. "ℳ-rank and meager types." Fundamenta Mathematicae 146.2 (1995): 121-139. <http://eudml.org/doc/212056>.

@article{Newelski1995,
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.},
author = {Newelski, Ludomir},
journal = {Fundamenta Mathematicae},
keywords = {superstability; trace; forking; orthogonality; additivity; multiplicity rank; local rank},
language = {eng},
number = {2},
pages = {121-139},
title = {ℳ-rank and meager types},
url = {http://eudml.org/doc/212056},
volume = {146},
year = {1995},
}

TY - JOUR
AU - Newelski, Ludomir
TI - ℳ-rank and meager types
JO - Fundamenta Mathematicae
PY - 1995
VL - 146
IS - 2
SP - 121
EP - 139
AB - 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.
LA - eng
KW - superstability; trace; forking; orthogonality; additivity; multiplicity rank; local rank
UR - http://eudml.org/doc/212056
ER -

References

top
  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. Zbl0697.03024
  3. [Ne1] L. Newelski, A model and its subset, J. Symbolic Logic 57 (1992), 644-658. Zbl0774.03015
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.