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PreprintCC BY-NC-SA 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{marot2026besicovitch,
  title = {{Besicovitch Covering on Alexandrov Spaces}},
  author = {Maxime Marot},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07912},
  eprint = {2610.07912},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07912},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Besicovitch Covering on Alexandrov Spaces
AU  - Maxime Marot
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.07912
UR  - https://arxiv.org/abs/2610.07912
AB  - 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.
ER  -