Corpus ID: 221292875

A coarse embedding theorem for homological filling functions

  title={A coarse embedding theorem for homological filling functions},
  author={Robert P. Kropholler and Mark Pengitore},
  journal={arXiv: Geometric Topology},
We demonstrate under appropriate finiteness conditions that a coarse embedding induces an inequality of homological Dehn functions. Applications of the main results include a characterization of what finitely presentable groups may admit a coarse embeddings into hyperbolic group of geometric dimension $2$, characterizations of finitely presentable subgroups of groups with quadratic Dehn function with geometric dimension $2$, and to coarse embeddings of nilpotent groups into other nilpotent… Expand
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