vi CONTENTS
Chapter 15. Unions of Saturated Models 113
Chapter 16. Life without Amalgamation 119
Chapter 17. Amalgamation and Few Models 125
Part 4. Categoricityin ๐ฟ๐1,๐ 133
Chapter 18. Atomic AEC 137
Chapter 19. Independence in ๐-stable Classes 143
Chapter 20. Good Systems 151
Chapter 21. Excellence Goes Up 159
Chapter 22. Very Few Models Implies Excellence 165
Chapter 23. Very Few Models Implies Amalgamation over Pairs 173
Chapter 24. Excellence and โ-Excellence 179
Chapter 25. Quasiminimal Sets and Categoricity Transfer 185
Chapter 26. Demystifying Non-excellence 193
26.1. The Basic Structure 193
26.2. Solutions and Categoricity 196
26.3. Disjoint Amalgamation for Models of ๐๐ 200
26.4. Tameness 201
26.5. Instability and Non-tameness 202
Appendix A. Morleyโs Omitting Types Theorem 205
Appendix B. Omitting Types in Uncountable Models 211
Appendix C. Weak Diamonds 217
Appendix D. Problems 223
Bibliography 227
Index 233
