Radial projections of rectifiable sets

Tuomas Orponen, Tuomas Sahlsten · Annales Academiae Scientiarum Fennicae Mathematica · 2011

We show that if no m-plane contains almost all of an m-rectifiable set E ⊂ 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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