| Description |
1 online resource (113 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; Volume 80, Number 405 |
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Memoirs of the American Mathematical Society ; Volume 80, no. 405.
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| Contents |
TABLE OF CONTENTS -- PART I: LOCAL CONDITIONS FOR CONTAINMENT -- CHAPTER 0. INTRODUCTION -- CHAPTER 1. MAIN RESULT AND SKETCH PROOF -- 1.1 Definitions and Statement of Main Result -- CHAPTER 2. THE MAIN RESULT FOR CURVES -- 2.1 Preliminary Results and Notation -- 2.2 The Main Result for Curves -- CHAPTER 3. CONVEX REGIONS IN R[sup(n)] -- 3.1 Preliminary Results -- 3.2 Faithful Projections -- 3.3 Proving Lemma 1.1.5 -- 3.4 Proving Theorem 1.1.4 -- 3.5 Possible Generalisations of the Main Theorem |
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CHAPTER 4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY4.1 Local Representation of S as a Function -- 4.2 Radii of Curvature Indicatrices -- 4.2 Semi-Local Insideness in Terms of Radii of Curvature and Indicatrices -- PART II: COMMON BOUNDARIES OF TOUCHING CONVEX REGIONS AND BLASCHKE'S ROLLING THEOREM -- CHAPTER 5. INTRODUCTION -- CHAPTER 6. SOME PRELIMINARIES -- CHAPTER 7. EXISTENCE OF HYPERPLANES OF SUPPORT -- CHAPTER 8. COMMON BOUNDARIES RESULTS -- CHAPTER 9. APPLICATION TO SPHERES AND BLASCHKE'S ROLLING THEOREM -- REFERENCES |
| Notes |
"July 1989, Volume 80, Number 405 (first of 5 numbers)." |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Convex sets.
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Convex domains.
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Convex domains.
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Convex sets.
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| Form |
Electronic book
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| Author |
Strantzen, J. B. (John Bruce), 1942- author.
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| ISBN |
9781470408282 |
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1470408287 |
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