3 papers
math.MG2026
Universality of Lipschitz quotients and the curve-flat index
Jaan Kristjan Kaasik, Andrés Quilis
We study universality of Lipschitz quotients. First, we modify a construction of Johnson, Lindenstrauss, Preiss and Schechtman to obtain a complete separable metric space that has…
math.FA2026
Affine Approximation in Finite Nagata Dimension and Applications to Lipschitz-free spaces
Mingu Jung, Colin Petitjean, AntonÃn Prochazka +1
We show that if is a metric space of Nagata dimension at most , then there exists an atlas on modeled on such that every Lipschitz map (with val…
math.FA2025
On curve-flat Lipschitz functions and their linearizations
Gonzalo Flores, Mingu Jung, Gilles Lancien +3
We show that several operator ideals coincide when intersected with the class of linearizations of Lipschitz maps. In particular, we show that the linearization of a…