Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 38, 2013, 405-412
University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 University of Helsinki, Finland; tuomas.hytonen 'at' helsinki.fi
University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 University of Helsinki, Finland; anna.kairema 'at' helsinki.fi
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 Christ.
2010 Mathematics Subject Classification: Primary 30L99; Secondary 51M05.
Key words: Dyadic cube, metric space, plumpness.
Reference to this article: T. Hytönen and A. Kairema: What is a cube? Ann. Acad. Sci. Fenn. Math. 38 (2013), 405-412.
doi:10.5186/aasfm.2013.3838
Copyright © 2013 by Academia Scientiarum Fennica