Packing dimensions of homogeneous perfect sets (Q949762)

A class of Cantor-like sets on the line, the homogeneous perfect sets, were defined by \textit{Z.-Y.~Wen} and \textit{J.~Wu} [Acta Math. Hungar. 107, 35--44 (2005; Zbl 1082.28008)] where their Hausdorff and lower box-counting dimensions were computed under certain conditions in terms of the basic parameters of the construction. The authors obtain here a similar result for their packing and upper box-counting dimension. Some known dimensional results on Cantor type sets are shown as special cases of their scheme.