Abstract

Abstract Analogously to the method used for c-density point, we introduce the notion of cμ-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 Tcμ generated by cμ-density operator and study basic properties of Tcμ in comparison with the classical density, I-density and c-density topologies

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