Compact, separable, linearly ordered spaces
A well-known question on monotonically normal spaces is whether each compact such space is the continuous image of a compact ordered space. This paper provides an affirmative answer for separable zero-dimensional spaces. The proof is a combinatorial and topological tour de force. In the meantime the author has improved the result, first by removing the assumption of zero-dimensionality [Zero-dimensionality and monotone normality, Topology Appl. 85, 319-333 (1998)] and more recently by relaxing separability to first-countability [Compact first countable linearly ordered spaces, http://www.unipissing.ca/topology/v/a/a/a/14.htm].
scientific article; zbMATH DE number 1121476