What is a cube?
arXiv:1209.2885
Abstract
We give an intrinsic characterization of all subsets of a doubling metric space that can arise as a member of some system of dyadic cubes on the underlying space, as constructed by M. Christ.
6 pages; v3 (Remark 2.14 (on the connection of plumpness to other geometric notations) and Examples 2.15 of plump sets added)