Besicovitch Covering on Alexandrov Spaces

Maxime Marot

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arXiv · 2610.07912

Besicovitch Covering on Alexandrov Spaces

Maxime Marot

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Abstract

We prove that finite-dimensional geodesic locally compact Alexandrov spaces with curvature bounded below (CBB), and in particular complete Riemannian manifolds with lower bounded sectional curvature, satisfy a Besicovitch covering theorem by showing that they are directionally limited in the sense of Federer.

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Maxime Marot. 2026-10-06. Besicovitch Covering on Alexandrov Spaces. https://arxiv.org/abs/2610.07912

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