Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II (Q1803667)

A topological space \(X\) whose topology is the order topology of some linear ordering on \(X\), is called an interval space. A space in which every closed subspace is homeomorphic to a clopen subspace, is called a CO space. In this second part of the paper the authors continue and finish the proof of their elegant and deep characterization of compact CO interval spaces [ibid. No. 1, 69-95 (1992; Zbl 0761.54019)]. The arguments are too delicate and technical to be described here. The study of such spaces is motivated by problems in the theory of Boolean algebras.