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 ๐ฟ๐œ” 1 ,๐œ” 133 Chapter 18. Atomic AEC 137 Chapter 19. Independence in ๐œ”-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 โˆ—-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 ๐œ™๐‘˜ 200 26.4. Tameness 201 26.5. Instability and Non-tameness 202 Appendix A. Morleyโ€™s 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
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