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D. Siersma

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Preprint Oct 2026

Critical Point Theory for the Distance Function on PL-Spaces

We study the (typical) singularities of the distance function from a point in the ambient space to a polytopal complex in Euclidean space. By means of the Goresky-MacPherson splitting we generalize the existing linear theory to the quadratic distance function. Critical points occur on `selected'strata of the PL-space,...

D. Siersma · 0 citations