โ Scribed by E.D. Tymchatyn; Russell B. Walker
No coin nor oath required. For personal study only.
Let C c Iw be a compact totally disconnected subset of the real line Iw and [O, l] c iw, the closed unit interval. In this paper we prove that all topological embeddings of C x [O, l] into I@ are tame; that is, there exists an ambient homeomorphism which straightens and makes parallel all arc components. It follows that no positive entropy map of C x [0, l] (which covers a homeomorphism of C) can be "embedded" into a near homeomorphism of Iw'. 0 1998 Elsevier Science B.V.
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