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.

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Cite This Study

Terence L. J. Harris (Fri,) studied this question.

synapsesocial.com/papers/68e5cfe5b6db643587565c76 https://doi.org/https://doi.org/10.48550/arxiv.2408.04885

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