Sets of minimal Hausdorff dimension for quasiconformal maps

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Modulus and the Poincaré inequality on metric measure spaces (2003, background): “Related examples for controlling geometry through curves can be found in [Can94, CFP94,Sem96a, Tys00 ,Tys01b,BT01,Tys01a].”
Quasi-Assouad dimension of fractals (2016, unknown): “E/ dim H E for any n -dimensional quasisymmetric mapping f: For results about quasisymmetric mappings, please refer to [9], [10], [14], [21], [22], et al. In analogy with the definition of quasisymmetric mini-mality, replacing the quasisymmetric mappings by quasi-Lipschitz mappings, we introduce…”
Assouad Dimension and Fractal Geometry (2020, background): “3] the conformal Hausdorff dimension of F cannot be lowered below the dimension of this product set, see also [269].”