Metric spaces in which Prohorov's theorem is not valid
Preiss, D.
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Displaying similar documents to “A Universal Separable Diversity”
Metric spaces in which Prohorov's theorem is not valid
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Using classical results of infinite-dimensional geometry, we show that the isometry group of the Urysohn space, endowed with its usual Polish group topology, is homeomorphic to the separable Hilbert space ℓ²(ℕ). The proof is based on a lemma about extensions of metric spaces by finite metric spaces, which we also use to investigate (answering a question of I. Goldbring) the relationship, when A,B are finite subsets of the Urysohn space, between the group of isometries fixing A pointwise,...
Corrigendum to ``Isometric embeddings of a class of separable metric spaces into Banach spaces''
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