Radial projections of rectifiable sets

Tuomas Orponen, Tuomas Sahlsten

Published 2011-01-13, updated 2011-02-12Version 2

We show that if no $m$-plane contains almost all of an $m$-rectifiable set $E \subset \R^{n}$, then there exists a single $(m - 1)$-plane $V$ such that the radial projection of $E$ has positive $m$-dimensional measure from every point outside $V$.