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Constructions of complete sets
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Pier Luigi Papini
Published/Copyright:
October 6, 2015
Abstract
Constructing constant width sets or, more generally, complete sets in Banach spaces seems to be a not so easy task. A new construction working in separable Banach spaces is presented, and Bavaud’s and Lachand-Robert and Oudet’s constructions of complete sets are extended to a more general context.
Received: 2014-1-17
Revised: 2014-2-28
Published Online: 2015-10-6
Published in Print: 2015-10-1
© 2015 by Walter de Gruyter Berlin/Boston
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- Danzer’s configuration revisited
- Sasaki manifolds with positive transverse orthogonal bisectional curvature
- Real open books and real contact structures
- Locally Monge–Ampère parabolic foliations
- Gradient estimates for the heat equation under the Ricci-harmonic map flow
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- The Euclidean distortion of generalized polygons
- On the geometrical properties of solvable Lie groups
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Articles in the same Issue
- Frontmatter
- Danzer’s configuration revisited
- Sasaki manifolds with positive transverse orthogonal bisectional curvature
- Real open books and real contact structures
- Locally Monge–Ampère parabolic foliations
- Gradient estimates for the heat equation under the Ricci-harmonic map flow
- The Log-Convex Density Conjecture and vertical surface area in warped products
- Further properties of the Bergman spaces of slice regular functions
- Constructions of complete sets
- The Euclidean distortion of generalized polygons
- On the geometrical properties of solvable Lie groups
- Another proof of the Beckman–Quarles theorem
