2006

Selected Topics in Convex Geometry

Authors:

ISBN: 978-0-8176-4396-6 (Print) 978-0-8176-4451-2 (Online)

Table of contents (16 chapters)

  1. Part I

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-9

      Metric Spaces

    3. No Access

      Book Chapter

      Pages 11-24

      Subsets of Euclidean Space

    4. No Access

      Book Chapter

      Pages 25-37

      Basic Properties of Convex Sets

    5. No Access

      Book Chapter

      Pages 39-51

      Transformations of the Space K n of Compact Convex Sets

    6. No Access

      Book Chapter

      Pages 53-59

      Rounding Theorems

    7. No Access

      Book Chapter

      Pages 61-72

      Convex Polytopes

    8. No Access

      Book Chapter

      Pages 73-87

      Functionals on the Space K n. The Steiner Theorem

    9. No Access

      Book Chapter

      Pages 89-95

      The Hadwiger Theorems

    10. No Access

      Book Chapter

      Pages 97-105

      Applications of the Hadwiger Theorems

  2. Part II

    1. Front Matter

      Pages 107-107

    2. No Access

      Book Chapter

      Pages 109-123

      Curvature and Surface Area Measures

    3. No Access

      Book Chapter

      Pages 125-134

      Sets with positive reach. Convexity ring

    4. No Access

      Book Chapter

      Pages 135-157

      Selectors for Convex Bodies

    5. No Access

      Book Chapter

      Pages 159-171

      Polarity

  3. Part III

    1. Front Matter

      Pages 173-173

    2. No Access

      Book Chapter

      Pages 175-183

      Star Sets. Star Bodies

    3. No Access

      Book Chapter

      Pages 185-191

      Intersection Bodies

    4. No Access

      Book Chapter

      Pages 193-201

      Selectors for Star Bodies