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 $\Real^d$ 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 $\Real^d$.

I've signed copyright over to the AMS and so I don't think I can supply copies of this paper over the net.

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Created:13 August 1996
Modified:15 August 2000