What is a cube?
Metric Geometry
2013-02-26 v3
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.
Cite
@article{arxiv.1209.2885,
title = {What is a cube?},
author = {Tuomas Hytönen and Anna Kairema},
journal= {arXiv preprint arXiv:1209.2885},
year = {2013}
}
Comments
6 pages; v3 (Remark 2.14 (on the connection of plumpness to other geometric notations) and Examples 2.15 of plump sets added)