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math.CA2012
Doubling Metric Spaces are Characterized by a Lemma of Benjamini and Schramm
James T. Gill
A useful property of Euclidean space originally shown by I. Benjamini and O. Schramm turns out to characterize doubling metric spaces.
math.CA2012★ 6 cited
Quasisymmetry and rectifiability of quasispheres
Matthew Badger, James T. Gill, Steffen Rohde +1
We obtain Dini conditions with "exponent 2" that guarantee that an asymptotically conformal quasisphere is rectifiable. In particular, we show that for any e>0 integrability of (es…