Almost isometric embeddings into configuration-compacta

作者：Yaffe Yoav^*

来源：Topology and Its Applications, 2011, 158(11): 1307-1313.

DOI：10.1016/j.topol.2011.05.004

• Almost isometry
• Configuration-compactum

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 aleph(0)-homogeneity we get the converse statement, and also prove almost isometry uniqueness.

• 出版日期2011-7-1