An n-dimensional space that admits a Poincare inequality but has no manifold points

被引：10
|
作者：
Hanson, B [1 ]
Heinonen, J
机构：
[1] St Olaf Coll, Dept Math, Northfield, MN 55057 USA
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 11期
关键词：
Poincare inequality; Ahlfors n-regular; manifold point;
D O I：
10.1090/S0002-9939-00-05453-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For each integer n greater than or equal to 2 we construct a compact, geodesic metric space X which has topological dimension n, is Ahlfors n-regular, satisfies the Poincare inequality, possesses R-n as a unique tangent cone at H-n almost every point, but has no manifold points.
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页码：3379 / 3390
页数：12
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