We present a sufficient condition for a connected T_ES space to have a maximal connected expansion. An example of a maximal connected Hausdorff space is constructed in which the set of cutpoints is not dense, thus answering a question of Newmann-Lara and Wilson in the negative.

The research of the first author was supported by a distinction award scholarship from the Department of Education for Northern Ireland.

key words and phrases: maximal connected, Hausdorff, singular set, singular expansion