Abstract :
This paper deals with the periods of the crazy maps which are a class of
continuous maps from ÝN S1, where ÝN is the product space of the bi-infinite
sequences on N symbols and S1 is the unite circle, into itself. More precisely, we
find necessary and sufficient conditions for the existence of the periodic points of
crazy maps. Moreover, the set of periods for the crazy maps associated with two
rotations is described.