The Set of Periods for a Class of Crazy Maps

The crazy maps are a class of continuous maps from SN=S1, where SNis the product space of the bi-infinite sequences on N symbols and S1 is the unit circle, into itself. Moreover, each of these maps has N orientation-preserving circle homeomorphisms associated with it. In this paper we study the set of periods in the case Ns2 and where the associated maps are rotations