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On the density of the thinnest covering of \(\mathbb{R}^n\)

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Publication:785256
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zbMath1472.52024MaRDI QIDQ785256

Doyun Nam, Jung, Soon-Mo

Publication date: 6 August 2020

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1593482447


zbMATH Keywords

covering density


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40)


Related Items (1)

On a relationship between the Hausdorff measure and the density of the thinnest covering of \(\mathbb{R}^n\)



Cites Work

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  • Covering compact metric spaces greedily
  • On a set of problems on covering of a bounded set
  • Existenzsätze für Lagerungen im Euklidischen Raum
  • On some covering problems in geometry
  • A note on coverings
  • Lattice covering of space with symmetric convex bodies
  • A conjecture of Ulam on the invariance of measures in Gilbert's cube
  • Covering the Plane with Convex Sets
  • The Covering of n -Dimensional Space by Spheres
  • The Covering of n -Dimensional Space by Spheres


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