Corrigendum in: A Generalization of Density Topology and on Generalization of the Density Topology on the Real Line

Abstract

The notion of \(\mathcal{A}_{d}-\)density point introduced in [Wojdowski 2006] leads to the operator \(\Phi _{\mathcal{A}_{d}}\left( A\right) \) which is not a lower density operator. We present a counterexample and give a corrected definition which should be used in [Wojdowski 2006] and [Wojdowski 2007] to keep all results valid.