Regular points of extremal subsets in Alexandrov spaces
Regular points of extremal subsets in Alexandrov spaces
复制标题
DOI：
10.2969/jmsj/84388438
复制
发表时间：
2019-05
影响因子：
0.7
通讯作者：
Tadashi Fujioka
中科院分区：
文献类型：
--
作者：
Tadashi Fujioka
定义了Alexandrov空间中极值子集的正则点，并研究了它们的基本性质。证明了正则点在极值子集上的邻域与欧氏空间中的开子集几乎等距，正则点在极值子集上的集合具有满测度且稠密.这些结果实际上适用于极值子集中的应变点。
We define regular points of an extremal subset in an Alexandrov space and study their basic properties. We show that a neighborhood of a regular point in an extremal subset is almost isometric to an open subset in the Euclidean space and that the set of regular points in an extremal subset has full measure and is dense. These results actually hold for strained points in an extremal subset.