上的有限单覆盖映射
On finite-sheeted covering mappings onto solenoids
摘要:
我们研究从螺线管到自身的极限映射。证明了从连通拓扑空间到螺线管上的有限片覆盖映射的每一个等价类都是由一个极限映射决定的。研究了极限映射的周期点的性质。
英文摘要:
We study limit mappings from a solenoid onto itself. It is shown that each equivalence class of finite-sheeted covering mappings from connected topological spaces onto a solenoid is determined by a limit mapping. Properties of periodic points of limit mappings are also studied.
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