Bornological metrics on countable groups are defined such that their coarse equivalence classes are determined by bornologies, with canonical representatives and applications to families of pairwise non-equivalent improper left-invariant metrics on finitely generated groups.
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Bornological Metrics on Groups
Bornological metrics on countable groups are defined such that their coarse equivalence classes are determined by bornologies, with canonical representatives and applications to families of pairwise non-equivalent improper left-invariant metrics on finitely generated groups.