Homogeneity Properties of Some ℓ1-Spaces

被引：0

作者：

Sergei Ovchinnikov

机构：

[1] Mathematics Department,

[2] San Francisco State University,undefined

[3] San Francisco,undefined

[4] CA 94132,undefined

来源：

Discrete & Computational Geometry | 2006年 / 35卷

关键词：

Computational Mathematic; Homogeneity Property; Homogeneous Subspace;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let M be a family of subspaces of a metric space X. The space X is M-homogeneous if any isometry between two subspaces in M can be extended to an isometry of X. In the case when M is the family of all subspaces of X, the space X is said to be fully homogeneous. We show that the space Ln, where L is a fully homogeneous subspace of ℝ, is R-homogeneous where R is the family of subspaces that are products of subsets of L.

引用

页码：301 / 310

页数：9

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