1 citations · 1 across the 8 of their papers we have counts for
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Flatness, Menger curvature, and parametrization
Guy C. David, Vyron Vellis
We show that on linearly locally contractible (LLC) manifolds, the beta numbers (which describe unilateral flatness) are comparable to the theta numbers (which describe bilateral f…
The Heinonen-Semmes problems after thirty years
Guy C. David, Pekka Pankka, Jeremy T. Tyson
We survey the current status of the questions posed by Juha Heinonen and Stephen Semmes in `Thirty-three yes or no questions about mappings, measures, and metrics' (Conformal Geome…
Analytically one-dimensional planes and the Combinatorial Loewner Property
Guy C. David, Sylvester Eriksson-Bique
It is a major problem in analysis on metric spaces to understand when a metric space is quasisymmetric to a space with strong analytic structure, a so-called Loewner space. A conje…
Lower bounds on mapping content and quantitative factorization through trees
Guy C. David, Raanan Schul
We give a simple quantitative condition, involving the "mapping content" of Azzam--Schul, that implies that a Lipschitz map from a Euclidean space to a metric space must be close t…