Piecewise linear discontinuous double coverings of the circle

In his study of a particular Lorenz-like semiflow, S. F. Kennedy introduced a two-parameter family of endomorphisms of the circle with two marked points. These are piecewise affine double coverings of the circle with a pair of discontinuities, which all have topological entropy log 2. We answer the question Kennedy raised about when two such maps are topologically conjugate. © 1993 American Mathematical Society.