On the singular points approached by the medial axis
Metric Geometry
2026-04-23 v4
Abstract
This paper develops the notion of superquadracity defined by L.Birbrair and M.Denkowski for subsets of R^n. In this regard, the main theorem of the paper establishes the relation between the superquadracity and non-empty intersection of the set and the closure of its medial axis. The further investigation concerns non C1 smooth points of the set.
Keywords
Cite
@article{arxiv.2003.03690,
title = {On the singular points approached by the medial axis},
author = {Adam Białożyt},
journal= {arXiv preprint arXiv:2003.03690},
year = {2026}
}
Comments
The last version comes with a revised proof of Theorem 3.1 and an additional section about the C^1 singularities separated from the sets frontier and a more general setting