Topics in Model Theory - Winter 2015/16

Contents:

  • Pregeometries: examples and associated notions (dimension, independence, etc.)

  • Proof that topological dimension equals pregeometric dimension in o-minimal structures

  • Proof that Morley rank equals pregeometric dimension in strongly minimal structures

  • Groups definable in o-minimal structures: proof of existence of definable manifold topology, sketch of Pillay's Principle on quotients by infinitesimal subgroups

  • Basics of omega-stable groups