# A measure with a large set of tangent measures

## 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 $$\mathbb{R}^d$$.