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Typical limit sets of critical points for smooth interval maps

Published online by Cambridge University Press:  01 February 2000

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: ablokh@math.uab.edu)
MICHAŁ MISIUREWICZ
Affiliation:
Department of Mathematical Sciences, IUPUI, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA (e-mail: mmisiure@math.iupui.edu)
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Abstract

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We prove that interval maps for which $\omega$-limit sets of all critical points are minimal are dense in the space of all interval maps of class $C^2$.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 1 , February 2000 , pp. 15 - 45
Copyright
2000 Cambridge University Press