Vol. 61,   1   (1992) pp.   3-9
AN EXAMPLE OF INFINITELY MANY SINKS FOR SMOOTH INTERVAL MAPS
A. F. IVANOV
Abstract. 
We show, for arbitrary $\epsilon >0$, the existence of a $C^2-\epsilon$ unimodal interval map with infinitely many sinks outside a neighbourhood of the critical point. It is known that such $C^2$ maps do not exist.