2012/05/08 by Rmoutil, Martin
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1205.1780
Given an arbitrarily weak notion of left--porosity and an arbitrarily strong notion of right--porosity, we construct an example of closed subset of the real line which is not sigma-left--porous and is right--porous. We also briefly summarize the relations between three different definitions of porosity controlled by a function; we then observe that our construction gives the example for any combination of these definitions of left-porosity and right-porosity.