On normal lattices and Wallman spaces (Q750646)

Instead of the set of closed sets in a topological space a lattice \(\Omega\) of subsets of a given set is considered. The author presents many interesting results with simple proofs. Specially the Wallman topology is considered on the set \(I_ R(\Omega)\) of all bounded and finitely additive measures defined on the algebra A(\(\Omega\)) generated by \(\Omega\) and regular \(\mu (A)=\sup \{\mu (L);\quad L\subset A,\quad L\in \Omega \}\) for \(A\in A(\Omega)\).