Equality of the packing and pseudo-packing measures (Q2725208)

From different geometric conditions of metric spaces, one can define three outer measures: packing measure, pseudo-packing measure and weak-packing measure. It has been shown that there exists a metric space such that these measures can take different values. For requiring the Hausdorff function being blanketed, \textit{X. Saint Reymond} and \textit{C. Tricot} [Math. Proc. Camb. Philos. Soc. 103, No. 1, 133-145 (1988; Zbl 0639.28005)] proved the equality of the packing measure and the pseudo measure for the space \(\mathbb{R}^n\). The author of the paper under review gives, under appropriate geometric conditions and using the same technique, the equality for the packing and pseudo-packing measure in a general metric space, moreover, he doesn't assume that the Hausdorff function is blanketed.