Stable Domination and Independence in Algebraically Closed Valued Fields

1. Introduction Part I. Stable Domination: 2. Some background on stability theory 3. Definition and basic properties of Stc 4. Invariant types and change of base 5. A combinatorial lemma 6. Strong codes for germs Part II. Independence in ACVF: 7. Some background on algebraically closed valued fields 8. Sequential independence 9. Growth of the stable part 10. Types orthogonal to GAMMA 11. Opacity and prime resolutions 12. Maximally complete fields and domination 13. Invariant types 14. A maximum modulus principle 15. Canonical bases and independence given by modules 16. Other Henselian fields.