Assouad–Nagata dimension
Appearance
In mathematics the Assouad-Nagata-dimension (or Nagata-dimension) of a metric space is defined as the
infimum of all integers such that: There exists a constant such that for all
the space has a -bounded covering with -multiplicity at most .
Here -bounded means that the diameter of each set of the covering is bounded by . And -multiplicity
is the infinum of integers such that each point belongs to at most members of the covering.
- ^ Lang, Urs; Schlichenmaier, Thilo (2004-10-04). "Nagata dimension, quasisymmetric embeddings, and Lipschitz extensions". arXiv:math/0410048.