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• W2951922002 abstract "We introduce the group-compact coarse structure on a Hausdorff topological group in the context of coarse structures on an abstract group which are compatible with the group operations. We develop asymptotic dimension theory for the group-compact coarse structure generalizing several familiar results for discrete groups. We show that the asymptotic dimension in our sense of the free topological group on a non-empty topological space that is homeomorphic to a closed subspace of a Cartesian product of metrizable spaces is 1." @default.
• W2951922002 created "2019-06-27" @default.
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• W2951922002 date "2012-01-23" @default.
• W2951922002 modified "2023-09-27" @default.
• W2951922002 title "Coarse structures on groups" @default.
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