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math.MG2023
A non-injective Assouad-type theorem with sharp dimension
Guy C. David
Lipschitz light maps, defined by Cheeger and Kleiner, are a class of non-injective "foldings" between metric spaces that preserve some geometric information. We prove that if a met…
math.MG2014★ 1 cited
Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces
Guy C. David
We study Lipschitz differentiability spaces, a class of metric measure spaces introduced by Cheeger. We show that if an Ahlfors regular Lipschitz differentiability space has charts…