1.  15
    Stability in geometric theories.Jerry Gagelman - 2005 - Annals of Pure and Applied Logic 132 (2-3):313-326.
    The class of geometric surgical theories is examined. The main theorem is that every stable theory that is interpretable in a geometric surgical theory is superstable of finite U-rank.
    Direct download (4 more)  
    Export citation  
    Bookmark   13 citations  
  2.  14
    A note on superstable groups.Jerry Gagelman - 2005 - Journal of Symbolic Logic 70 (2):661-663.
    It is proved that all groups of finite U-rank that have the descending chain condition on definable subgroups are totally transcendental. A corollary is that any stable group that is definable in an o-minimal structure is totally transcendental of finite Morley rank.
    Direct download (6 more)  
    Export citation