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math.FA2024
Pointwise semi-Lipschitz functions and Banach-Stone theorems
Estíbalitz Durand-Cartagena, Jesús Á. Jaramillo, Francisco Venegas M
We study the fundamental properties of pointwise semi-Lipschitz functions between asymmetric spaces, which are the natural asymmetric counterpart of pointwise Lipschitz functions.…
math.MG2024
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…