Compression of uniform embeddings into Hilbert space

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76266If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube complexes and for hyperbolic groups. In particular, we show that the Hilbert space compression of any hyperbolic group is 1.10 pagesGroup TheoryFunctional AnalysisGeometric Topology20F69; 20F65; 46C05Compression of uniform embeddings into Hilbert spacetext