A Theorem on Interior Transformations*

In an earlier paperf it has been shown that if T(A) — B is a light interior transformation, that is, a continuous transformation mapping open sets into open sets and mapping no continuum into a single point, and if A is compact, then for every simple arc pq in B and any poeT~(p) there exists a simple arc poqo in A which maps topologically onto pq under T. In this paper the following extension to arbitrary dendrites (that is, locally connected continua containing no simple closed curves.) in B will be made.