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 Eclid spaces and sorted out the best results of related problems before giving a new proof of Besicovitch corvering theorem in the one-dimensional case.
Calculus, fractals, and analysis on metric spaces
A few aspects of analysis on metric spaces
Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces
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