K. Papadopolous Nests and Orderings
Following van Dalen and Wattel's topological characterisation of ordered spaces,
we use two nests to characterise linear ordered and well ordered topological
spaces, and we observe that more than three nests generate spaces that are not
of high topological interest. In particular, we give an example of a countable
space, X, with three nests L, R, P, each T0-separating X, respectively, such
that their union T1-separates X, but does not T2-separate X.