4 papers
On the small scale nonlinear theory of operator spaces
Bruno de Mendonça Braga, Javier Alejandro Chávez-Domínguez
We initiate the study of the small scale geometry of operator spaces. The authors have previously shown that a map between operator spaces which is completely coarse (that is, the…
On the expansiveness of coarse maps between Banach spaces and geometry preservation
Bruno de Mendonça Braga, Gilles Lancien
We introduce a new notion of embeddability between Banach spaces. By studying the classical Mazur map, we show that it is strictly weaker than the notion of coarse embeddability. W…
Coarse equivalence versus bijective coarse equivalence of expander graphs
Florent Baudier, Bruno de Mendonça Braga, Ilijas Farah +2
We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if…
Asymptotic coarse Lipschitz equivalence
Bruno de Mendonça Braga, Gilles Lancien
We introduce the notion of asymptotic coarse Lipschitz equivalence of metric spaces. We show that it is strictly weaker than coarse Lipschitz equivalence. We study its impact on th…