Finite-to-one open mappings on circularly chainable continua (Q789772)

\textit{G. T. Whyburn} [Duke Math. J. 3, 370-381 (1937; Zbl 0016.42102)] has shown that if \(f(X)=Y\) is a non-constant open mapping from a simple closed curve onto a Hausdorff space, then Y is either a simple closed curve or an arc. Furthermore, he has classified the possible types of such mappings. The authors establish analogous results for finite-to-one open mappings on hereditarily decomposable circularly chainable continua.