Homogeneity properties of some l1-spaces

被引：0
|
作者：
Ovchinnikov, S [1 ]
机构：
[1] San Francisco State Univ, Dept Math, San Francisco, CA 94132 USA
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2006年 / 35卷 / 02期
关键词：
Computational Mathematic; Homogeneity Property; Homogeneous Subspace;
D O I：
10.1007/s00454-005-1217-8
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
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 L-n, 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.
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页码：301 / 310
页数：10
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