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STRUCTURAL STABILITY OF WEAK-HYPERBOLIC SELF-COVERING MAPS
弱双曲覆盖映射的单一化结构稳定性

Keywords: Weak-hyperbolic invariant set,weak-hyperbolic self-covering map,orbit shift structural stability
双曲不变集
,弱双曲覆盖映射,单一化结构稳定性

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Abstract:

Suppose that f is a self-covering map of a compact manifold M without boundary. The paper defines the weak-hyperbolic invariant sets, and discusses the properties of weak-hyperbolic invariant sets. In this paper we show mainly that weak-hyperbolic self-covering maps are structurally stable.

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