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Constructive continuity
About this Title
Mark Mandelkern
Publication: Memoirs of the American Mathematical Society
Publication Year:
1983; Volume 42, Number 277
ISBNs: 978-0-8218-2277-7 (print); 978-1-4704-0687-5 (online)
DOI: https://doi.org/10.1090/memo/0277
MathSciNet review: 690901
MSC: Primary 26A15; Secondary 03F65, 26A48, 54C30
Table of Contents
Chapters
- 1. Problems, methods, and main results
- Part I. Preliminaries
- 2. Brouwerian counterexamples
- 3. Real numbers
- 4. Infima and suprema
- 5. Metric spaces
- Part II. Reliefs and continuous functions
- 6. Reliefs
- 7. Continuity
- 8. Intermediate values
- 9. Bounds and extremes
- 10. Connectivity and convexity
- 11. Located sets
- Part III. Monotone functions
- 12. Monotonicity
- 13. Monotonicity and continuity
- Part IV. Relief functions and the limited continuity principle
- 14. Relief functions
- 15. Existence of relief functions
- 16. The limited continuity principle