Resumen de Asymptotically sharp dimension estimates for k-porous sets

E. Jarvenpaa, M. Jarvenpaa

• In Rn, we establish an asymptotically sharp upper bound for the upper Minkowski dimension of k-porous sets having holes of certain size near every point in k orthogonal directions at all small scales. This bound tends to n−k as k-porosity tends to its maximum value.