Title: PI spaces with analytic dimension 1 and arbitrary topological dimension
Abstract: For every n, we construct a metric measure space that is doubling, satisfies a Poincare inequality in the sense of Heinonen-Koskela, has topological dimension n, and has a measurable tangent bundle of dimension 1.
Publication Year: 2015
Publication Date: 2015-04-24
Language: en
Type: preprint
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Cited By Count: 1
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