Every sigma-porous set is the union of a sigma-strongly porous set and a set of measure null (for each sigma-finite Borel measure in a metric space). Using this result, we obtain a natural decomposition of measures according to their upper porosity.
Every sigma-porous set is the union of a sigma-strongly porous set and a set of measure null (for each sigma-finite Borel measure in a metric space). Using this result, we obtain a natural decomposition of measures according to their upper porosity. (en)