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Singular points of a convex tiling

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Publication:1113460
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DOI10.1007/BF01443354zbMath0662.52008MaRDI QIDQ1113460

Mark J. Nielsen

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164575


zbMATH Keywords

coveringsingular pointsBanach spaceconvex bodystarshapedconvex tiling


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)


Related Items (4)

Singular points for tilings of normed spaces ⋮ On a question by Corson about point-finite coverings ⋮ On two questions concerning tilings ⋮ Coverings of Banach spaces: beyond the Corson theorem




Cites Work

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  • Some characterizations of convex polyhedra
  • A characterization theorem for tilings having countably many singular points
  • Some tilings of the plane whose singular points are uncountable and unbounded
  • Tilings whose members have finitely many neighbors
  • Locally countable plump tilings are flat
  • Tilings of the plane by topological disks
  • Some Tilings of the Plane Whose Singular Points Form a Perfect Set
  • On a Vector Space Construction by Hausdorff
  • Collections of convex sets which cover a Banach space
  • Tiling with smooth and rotund tiles




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