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Isometric models for separable groups with a bi-invariant metric - MaRDI portal

Isometric models for separable groups with a bi-invariant metric (Q2219289)

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Isometric models for separable groups with a bi-invariant metric
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    Isometric models for separable groups with a bi-invariant metric (English)
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    19 January 2021
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    In this paper, the author discusses isometric models for separable groups with a bi-invariant metric and proves that every compact group with a bi-invariant metric is isometrically isomorphic to the isometry group of some compact metric space and, more generally, that every separable group with a bi-invariant metric is isometrically isomorphic to the isometry group (equipped with the supremum metric) of some separable metric space.
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    isometric
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    model
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    separable
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    group
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    compact
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