Stability in Geometric Theories

34 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The second question is answered for o-minimal structures that eliminate imaginaries. It is proved that for any structure D whose theory is o-minimal and eliminates imaginaries, any stable group interpretable in D is totally transcendental with finite Morley rank. A strengthening of Buechler's Dichotomy Theorem is also proved for stable (viz. superstable) structures that are interpretable in D.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD