Abstract
It is known that any ɛ -expansive dynamical system with compact and totally disconnected domain can be embedded into a certain symbolic dynamical system. Actually, there exists a dynamical system with a compact and totally disconnected domain that cannot be topologically embedded into any symbolic dynamical system. Exactly speaking, ɛ -expansiveness plays an important role in the embedding problem. In this paper, the embedding theorem of dynamical systems which are not ɛ -expansive is discussed, and a relation between this result and the topological entropy is given.
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