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arXiv math/0502420math.MGmath.GR
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Stabilizers of closed sets in the Urysohn space

Julien Melleray

英文摘要:

Answering a question of Gao and Kechris, we show that, given any polish group G, there exists a closed subset F of Urysohn's universal metric space U such that G is (topologically) isomorphic to the subgroup of isometries of U which map F onto itself.

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