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Almost isometric embeddings into configuration-compacta
Authors:Yoav Yaffe
Institution:Bar-Ilan University, Israel
Abstract:We show that a Polish metric space X which has ‘compact configuration spaces’ is free of almost isometric embeddings, i.e. given such an embedding into X one gets an isometric embedding. By assuming a continuous version of 0-homogeneity we get the converse statement, and also prove almost isometry uniqueness.
Keywords:54E15
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