Riesz and Lodato reflections. II (Q1288917)

The paper is the direct continuation of the first part of the same research, published in [ibid., No. 1-2, 111-128 (1996; Zbl 0914.54007), see the review above]. The description of the problem is given in the respective review. A screen \(\omega\) is said to be a Lodato if and only if \(\sigma \in \Sigma\) implies \(v_c(\sigma) \in \Sigma\) for \(c = c(\Sigma)\), where the \(c\)-neighborhood filter \(w_c(\sigma)\) of the filter \(\sigma\) is composed of those sets \(V\) for which there is an \(S \in \sigma\) such that \(V \in v_c(x)\) for each \(x \in S\). In the second part of the research, the Lodatos, Lodato reflections, and appropriate closures are investigated.