Monotone quotients of surface diffeomorphisms

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A homeomorphism of a compact metric space is {\em tight} provided every non-degenerate compact connected (not necessarily invariant) subset carries positive entropy. It is shown that every $C^{1+α}$ diffeomorphism of a closed surface factors to a tight homeomorphism of a generalized cactoid (roughly, a surface with nodes) by a semi-conjugacy whose fibers carry zero entropy.
14 pages, 4 figures

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Dynamical Systems, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/65530

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211050
 http://arxiv.org/abs/math/0211050

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arXiv