Suppose S is a connected,
locally connected, complete Moore space having no cut point and in which the
Jordan Curve Theorem holds. Thus, suppose S satisfies R. L. Moore’s Axioms
0,1 − 4. Certain extensions and applications of earlier results of the author are
established. In particular, modified forms of the Torhorst theorem and a plane
theorem of R. L. Moore are shown to hold in the space S, two theorems concerning
the separation of S by compact dendrons are extended to Peano continua and
another to certain Menger regular curves. Finally, a general method of constructing
certain pathological spaces is given.
