Radial projections of rectifiable sets

Details Radial projections of rectifiable sets Radial projections of rectifiable sets

2011-01-13

arxiv.org/abs/1101.2587v2

Ann. Acad. Sci. Fenn. Math. 36 (2011), 677-681

Mathematics

Classical Analysis and ODEs

6 pages, 2 figures, typos corrected and added references. Accepted to Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica

Scientific paper

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 $V$.

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