C-(n)-homogeneous compacta in R(n) are C-(n)-submanifolds of R(n)

被引：21

作者：

Repovs, D ^{[1
]}

Skopenkov, AB ^{[1
]}

Scepin, EV ^{[1
]}

机构：

[1] UNIV LJUBLJANA, INST MATH PHYS & MECH, LJUBLJANA 61111, SLOVENIA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 04期

关键词：

C-1-homogeneous compacta; C-1-submanifold of R(n); Hilbert-Smith conjecture; LIP-homeomorphism; Lipschitz chart; almost everywhere differentiability;

D O I：

10.1090/S0002-9939-96-03157-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give the characterization of C-1-homogeneous compacta in R(n): Let K be a locally compact (possibly nonclosed) subset of R(n). Then K is C-1-homogeneous if and only if K is a C-1-submanifold of R(n).

引用

页码：1219 / 1226

页数：8