65 citations · 169 across the 13 of their papers we have counts for
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math.FA2015★ 1 cited
The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space
David Bate, Marianna Csörnyei, Bobby Wilson
We construct a purely unrectifiable set of finite -measure in every infinite dimensional separable Banach space whose image under every has pos…
math.MG2015★ 14 cited
Differentiability and Poincaré-type inequalities in metric measure spaces
David Bate, Sean Li
We demonstrate the necessity of a Poincaré type inequality for those metric measure spaces that satisfy Cheeger's generalization of Rademacher's theorem for all Lipschitz functions…