6 citations · 16 across the 12 of their papers we have counts for
17 papers
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…
Metric regularity, pseudo-Jacobians and global inversion theorems on Finsler manifolds
Olivia Gutú, Jesús A. Jaramillo, Óscar Madiedo
Our aim in this paper is to study the global invertibility of a locally Lipschitz map between (possibly infinite-dimensional) Finsler manifolds, stressing the connectio…
Sobolev spaces of vector-valued functions
Iván Caamaño, Jesús A. Jaramillo, Ángeles Prieto +1
We are concerned here with Sobolev-type spaces of vector-valued functions. For an open subset and a Banach space , we compare the classical Sobolev space…
Smooth semi-Lipschitz functions and almost isometries of Finsler manifolds
Aris Daniilidis, Jesus Jaramillo, Francisco Venegas M
The convex cone of real-valued smooth semi-Lipschitz functions on a Finsler manifold is an order-algebraic structure that captures…
Surjection and inversion for locally Lipschitz maps between Banach spaces
Olivia Gutú, Jesús A. Jaramillo
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider…
Restricting open surjections
Jesus A. Jaramillo, Enrico Le Donne, Tapio Rajala
We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density charact…