Radial projections of rectifiable sets

Abstract

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 $V$.Comment: 6 pages, 2 figures, typos corrected and added references. Accepted to Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematic