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Constructive Continuity.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1983Copyright date: ©1983Edition: 1st edDescription: 1 online resource (126 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406875
Subject(s): Genre/Form: Additional physical formats: Print version:: Constructive ContinuityDDC classification:
  • 510 s;515.7
LOC classification:
  • QA331 -- .M36 1983eb
Online resources:
Contents:
Intro -- CONTENTS -- ABSTRACT -- 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 -- REFERENCES -- INDEX OF SYMBOLS -- INDEX OF TERMS.
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Intro -- CONTENTS -- ABSTRACT -- 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 -- REFERENCES -- INDEX OF SYMBOLS -- INDEX OF TERMS.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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