Density topology involving microscopic sets and category

Analogously to the method used for c-density point, we introduce the notion of c_μ-density point for arbitrary set A having the Baire property, replacing the convergence in measure with the convergence with respect to the σ-ideal of microscopic sets. Then, we consider the density type topology T_cμ generated by c_μ-density operator and study basic properties of T_cμ in comparison with the classical density, I-density and c-density topologies