19 citations · 23 across the 14 of their papers we have counts for
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math.FA2019
Nondentable Sets in Banach Spaces
S. J. Dilworth, Chris Gartland, Denka Kutzarova +1
In his study of the Radon Nikodým property of Banach spaces, Bourgain showed (among other things) that in any closed, bounded, convex set that is nondentable, one can find a se…
math.MG2019
Estimates on the Markov Convexity of Carnot Groups and Quantitative Nonembeddability
Chris Gartland
We show that every graded nilpotent Lie group of step , equipped with a left invariant metric homogeneous with respect to the dilations induced by the grading, (this include…
math.MG2019
Thick Families of Geodesics and Differentiation
Chris Gartland
The differentiation theory of Lipschitz functions taking values in a Banach space with the Radon-Nikodým property (RNP), originally developed by Cheeger-Kleiner, has proven to be a…