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Typical limit sets of critical points for smooth interval maps

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 $C^2$.

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Bibliographic Details
Published in:Ergodic theory and dynamical systems 2000-02, Vol.20 (1), p.15-45
Main Authors: BLOKH, ALEXANDER, MISIUREWICZ, MICHAŁ
Format: Article
Language:English
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Description
Summary: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 $C^2$.
ISSN:0143-3857
1469-4417
DOI:10.1017/S014338570000002X