Almost isometric embeddings into configuration-compacta |
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Authors: | Yoav Yaffe |
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Institution: | Bar-Ilan University, Israel |
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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 ℵ0-homogeneity we get the converse statement, and also prove almost isometry uniqueness. |
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Keywords: | 54E15 |
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