@article{15252,
  abstract     = {A measurable map between measure spaces is shown to have bounded compression if and only if its image via the measure-algebra functor is Lipschitz-continuous w.r.t. the measure-algebra distances. This provides a natural interpretation of maps of bounded compression/deformation by means of the measure-algebra functor and corrobo-rates the assertion that maps of bounded deformation are a natural class of morphisms for the category of complete and separable metric measure spaces.},
  author       = {Dello Schiavo, Lorenzo},
  issn         = {1848-8013},
  journal      = {Mathematical Communications},
  number       = {1},
  pages        = {137--142},
  publisher    = {Udruga Matematicara Osijek},
  title        = {{A characterization of maps of bounded compression}},
  volume       = {29},
  year         = {2024},
}

