Monotone quotients of surface diffeomorphisms
动力系统
2007-05-23 v1 几何拓扑
摘要
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 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.
引用
@article{arxiv.math/0211050,
title = {Monotone quotients of surface diffeomorphisms},
author = {André de Carvalho and Miguel Paternain},
journal= {arXiv preprint arXiv:math/0211050},
year = {2007}
}
备注
14 pages, 4 figures