Geodesic
Notions of denseness
Kuperberg, Greg1
1 Department of Mathematics, University of California, One Shields Ave, Davis, California 95616-8633, USA
Geometry & topology, Tome 4 (2000) no. 1, pp. 277-292.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

The notion of a completely saturated packing [Monats. Math. 125 (1998) 127-145] is a sharper version of maximum density, and the analogous notion of a completely reduced covering is a sharper version of minimum density. We define two related notions: uniformly recurrent and weakly recurrent dense packings, and diffusively dominant packings. Every compact domain in Euclidean space has a uniformly recurrent dense packing. If the domain self-nests, such a packing is limit-equivalent to a completely saturated one. Diffusive dominance is yet sharper than complete saturation and leads to a better understanding of n–saturation.

DOI : 10.2140/gt.2000.4.277
Keywords: density, saturation, packing, covering, dominance

Kuperberg, Greg 1

1 Department of Mathematics, University of California, One Shields Ave, Davis, California 95616-8633, USA 
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Kuperberg, Greg. Notions of denseness. Geometry & topology, Tome 4 (2000) no. 1, pp. 277-292. doi : 10.2140/gt.2000.4.277. http://geodesic.mathdoc.fr/articles/10.2140/gt.2000.4.277/

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