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

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DOI

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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     title = {Hausdorff {Obstructions} to {Packing} {(N-1)-Balls} in {N-Space}},
     journal = {Canadian mathematical bulletin},
     pages = {414--420},
     year = {1982},
     volume = {25},
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     doi = {10.4153/CMB-1982-059-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-059-4/}
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