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Sublinear bilipschitz equivalence and sublinearly Morse boundaries

Sublinear bilipschitz equivalence and sublinearly Morse boundaries

Abstract A sublinear bilipschitz equivalence (SBE) between metric spaces is a map from one space to another that distorts distances with bounded multiplicative constants and sublinear additive error. Given any sublinear function, the associated sublinearly Morse boundaries are defined for all geodesic proper metric spaces as a quasi‐isometrically invariant and …