A measure with a large set of tangent measures

Toby O'Neil

Appeared in The Proceedings of the AMS, July 1995.

Abstract

There exists a Borel regular, finite, non-zero measure \(\mu\) on \(\mathbb{R}^d\) such that for \(\mu \)-a.e. \(x\) the set of tangent measures of \(\mu \) at \(x\) consists of all non-zero, Borel regular, locally finite measures on \(\mathbb{R}^d\).

Comments

This is my first published mathematics paper.

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Created:13 August 1996
Modified:12 November 2012