Title: Spaces of orders of some one-relator groups,
Abstract: We show that certain orderable groups admit no isolated left orders. The
groups we consider are cyclic amalgamations of a free group with a general
orderable group, the HNN extensions of free groups over cyclic subgroups, and a
particular class of one-relator groups. In order to prove the results about
orders, we develop perturbation techniques for actions of these groups on the
line.