Proof of Dudley's Convex Approximation

Sariel Har-Peled; Mitchell Jones

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arXiv · 1912.01977

Proof of Dudley's Convex Approximation

Sariel Har-Peled·Mitchell Jones

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Abstract

We provide a self contained proof of a result of Dudley [Dud64]} which shows that a bounded convex-body in $\Re^d$ can be $\varepsilon$-approximated, by the intersection of $O_d\bigl(\varepsilon^{-(d-1)/2} \bigr)$ halfspaces, where $O_d$ hides constants that depends on $d$.

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Sariel Har-Peled, Mitchell Jones. 2019-12-02. Proof of Dudley's Convex Approximation. https://arxiv.org/abs/1912.01977

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