ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

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.

AMS subject classification.  58F08, 26A18; Secondary 54H20
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