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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: http://dx.doi.org/10.1090/memo/0277
MathSciNet review: 690901
MSC: Primary 26A15; Secondary 03F65, 26A48, 54C30

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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

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