A Short Introduction to Classification Theory
نویسندگان
چکیده
0. Introduction 2 1. Stability and ranks 3 PART I: INDEPENDENCE 8 2. Forking 8 3. Indiscernible sets 9 4. Finite equivalence relations 12 5. Further properties of forking 16 6. An example of the use of forking 19 PART II: PRIME MODELS 22 7. General isolation notion 22 8. Examples of isolation notions 26 9. Spectrum of stability 27 10. a -prime models 28 11. Structure of a -saturated models 30 12. A non-structure theorem for strictly stable theories 33 APPENDIX 37 A. M eq and canonical bases 37 B. Morley’s theorem 39 C. Properties of forking 41
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