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Corrigendum to the paper ‘Typical limit sets of critical points for smooth interval maps’

Published online by Cambridge University Press:  22 September 2003

ALEXANDER BLOKH  and
MICHAŁ MISIUREWICZ
ALEXANDER BLOKH
Affiliation:
Department of Mathematics, University of Alabama in Birmingham, University Station, Birmingham, AL 35294-2060, USA (e-mail: [email protected])
MICHAŁ MISIUREWICZ
Affiliation:
Department of Mathematical Sciences, IUPUI, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA (e-mail: [email protected])
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Abstract

In the second paragraph on page 30 [1], we wrote ‘Making a critical point precritical decreases the number of points about which we have to worry’. Indeed, we stopped worrying about these points so much, that we forgot to mention them in several statements. This includes Lemma 3.13, Theorem 3.14 and the Main Theorem. Thus, the possibility of critical points being precritical (not only sinking or recurrent) has to be added to those statements. In particular, the Main Theorem should read as follows.

Type
Correction
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 2 , April 2003 , pp. 661
Copyright
2003 Cambridge University Press

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