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arXiv · 2107.01342

Besicovitch-Morse type covering lemmas in metric spaces

Tong Zhang
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Abstract

The aims of this article is to generalize some useful Besicovitch-Morse type covering lemmas in complete Riemannian manifolds and try to find more spaces such that the so-called BCP and WBCP are equivalent while these two properties are weaker and still useful. We also get interest in the best constants of Besicovitch-type covering properties in Euclidean spaces and sorted out the best results of related problems before giving a new proof of Besicovitch covering theorem in the one-dimensional case.

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Tong Zhang. 2021-07-03. Besicovitch-Morse type covering lemmas in metric spaces. https://arxiv.org/abs/2107.01342

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