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A note on the shift on the Cantor set. (English) Zbl 0768.54028
Summary: Let $$O(x)$$ be the orbit of $$x$$ under a homeomorphism $$h$$ on a metric space $$X$$. It is shown that this motion can be found in the shift on the Cantor set; i.e. there is an embedding $$f: O(x)\to\{0,1\}^ Z$$ such that $$\sigma\circ j=j\circ h$$.

MSC:
 54H20 Topological dynamics (MSC2010)
Keywords:
orbit; shift; Cantor set
Full Text:
References:
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