Appendix D. Singularities of Smooth Maps

Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface xi
4. Chapter 1. Goods and Prices 1
5. Chapter 2. Preferences and Utility 5
6. Chapter 3. Demand Functions 19
7. Chapter 4. The Exchange Model 37
8. Chapter 5. The Equilibrium Manifold 47
9. Chapter 6. Applications of the Global Coordinate System 56
10. Chapter 7. The Broad Picture 62
11. Chapter 8. The Fine Picture 74
12. Chapter 9. Production with Decreasing Returns 82
13. Chapter 10. Equilibrium with Decreasing Returns 96
14. Chapter 11. Production with Constant Returns 108
15. Chapter 12. Equilibrium with Constant Returns 124
16. Postscript 145
17. Appendix A. Notation 149
18. Appendix B. Point-set Topology 151
19. Appendix C. Smooth Manifolds 152
20. Appendix D. Singularities of Smooth Maps 155
21. Appendix E. Convexity 159
22. Appendix F. Miscellany 166
23. References 167
24. Index 171