An <IMG >-dimensional space that admits a Poincaré inequality but has no manifold points期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Bruce Hanson Juha Heinonen

Affiliation:	Department of Mathematics, St. Olaf College, Northfield, Minnesota 55057 ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109

Abstract:	For each integer we construct a compact, geodesic metric space which has topological dimension , is Ahlfors -regular, satisfies the Poincaré inequality, possesses as a unique tangent cone at $mathcal{H}_n$ almost every point, but has no manifold points.

Keywords:	Poincaré inequality, Ahlfors $n$-regular, manifold point.

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