August 9, 2024Open Access

Exceptional sets for length under restricted families of projections onto lines in R³

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Abstract

It is shown that if A R³ is a Borel set of Hausdorff dimension A>1, and if _ is orthogonal projection to the line spanned by (, , 1), then _ (A) has positive length for all outside a set of Hausdorff dimension at most 3- A2.

Exceptional sets for length under restricted families of projections onto lines in R³

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Abstract

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