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.