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math.MG2023
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…
math.MG2023
Abstract embeddability ranks
Florent P. Baudier, Christian Rosendal
We describe several ordinal indices that are capable of detecting, according to various metric notions of faithfulness, the embeddability between pairs of Polish spaces. These embe…
math.MG2014
On the -distortion of some infinite graphs
Florent Pierre Baudier
We show a distortion lower bound of when embedding the countably branching hyperbolic tree of height into a Banach space with an equivalent norm satisfying R…