10 citations · 20 across the 22 of their papers we have counts for
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Characterization of metric spaces with a metric fundamental class
Denis Marti, Elefterios Soultanis
We consider three conditions on metric manifolds with finite volume: (1) the existence of a metric fundamental class, (2) local index bounds for Lipschitz maps, and (3) Gromov--Hau…
Connections between metric differentiability and rectifiability
Iván Caamaño, Estíbalitz Durand-Cartagena, Jesús Á. Jaramillo +2
We combine Kirchheim's metric differentials with Cheeger charts in order to establish a non-embeddability principle for any collection of Banach (or metric) spaces: if…
Fragment-wise differentiable structures
David Bate, Sylvester Eriksson-Bique, Elefterios Soultanis
The -modulus of curves, test plans, upper gradients, charts, differentials, approximations in energy and density of directions are all concepts associated to the theory of Sobol…