Geodesic
Hausdorff Obstructions to Packing (N-1)-Balls in N-Space
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 414-420

Voir la notice de l'article provenant de la source Cambridge University Press

An arbitrary collection of (N — l)-flats in RN is called a frame and an arbitrary assignment of (N — 1))-balls to these (N — 1)-flats is called a loading. Any loading in which the designated (N — 1)-balls are mutually disjoint is called a packing. For the frame consisting of the (N — 1)-flats perpendicular to a given line, every loading is automatically a packing. Although this is obviously not the most general frame to admit a packing, we show two senses in which all frames which admit packings are "at most onedimensional." Our principal tool is the Hausdorff measure-theoretic dimension.
DOI : 10.4153/CMB-1982-059-4
Mots-clés : 52A45, 28A75 
Wilker, J. B. Hausdorff Obstructions to Packing (N-1)-Balls in N-Space. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 414-420. doi: 10.4153/CMB-1982-059-4
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