34 citations · 116 across the 29 of their papers we have counts for
36 papers
On the -embeddability of Lipschitz-free spaces in their biduals
Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3
A Banach space is -embedded in its bidual if there is a projection such that for all . We show that, as long as $X…
Expanders prevent Property (H)
Bruno de Mendonç Braga, Chris Gartland, Gilles Lancien +3
We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space w…
On the uniform continuity of homeomorphisms between the spheres of and
Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3
We consider the problem of whether there is a sequence of homeomorphisms between the unit spheres of the -dimensional Banach spaces and whic…
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…
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…
Asymptotic smoothness and universality in Banach spaces
Ryan M. Causey, Gilles Lancien
For , we study the complexity and the existence of universal spaces for two classes of separable Banach spaces, denoted and , and…