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- W2949558584 abstract "We discuss the problem of deciding when a metrisable topological group $G$ has a canonically defined local Lipschitz geometry. This naturally leads to the concept of minimal metrics on $G$, that we characterise intrinsically in terms of a linear growth condition on powers of group elements. Combining this with work on the large scale geometry of topological groups, we also identify the class of metrisable groups admitting a canonical global Lipschitz geometry. In turn, minimal metrics connect with Hilbert's fifth problem for completely metrisable groups and we show, assuming that the set of squares is sufficiently rich, that every element of some identity neighbourhood belongs to a $1$-parameter subgroup." @default.
- W2949558584 created "2019-06-27" @default.
- W2949558584 creator A5028371263 @default.
- W2949558584 date "2016-11-13" @default.
- W2949558584 modified "2023-09-27" @default.
- W2949558584 title "Lipschitz structure and minimal metrics on topological groups" @default.
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- W2949558584 hasPublicationYear "2016" @default.
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