@article{20839,
  abstract     = {For every couple of Hausdorff functions ψ and φ verifying some mild assumptions, there exists a compact subset K of the Baire space such that the φ-Hausdorff measure and the ψ-packing measure on K are both finite and positive. Such examples are then embedded in any infinite dimensional Banach space to answer positively a question of Fan on the existence of metric spaces with arbitrary scales.},
  author       = {Helfter, Mathieu},
  issn         = {2308-1317},
  journal      = {Journal of Fractal Geometry},
  publisher    = {EMS Press},
  title        = {{Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces}},
  doi          = {10.4171/jfg/177},
  year         = {2025},
}