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arxiv: 1605.08718 · v1 · pith:7GHFDBQSnew · submitted 2016-05-27 · 🧮 math.DS

Indices of fixed points not accumulated by periodic points

classification 🧮 math.DS
keywords mathbbmathrmpointsaccumulateddenotesdoldeveryexists
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We prove that for every integer sequence $I$ satisfying Dold relations there exists a map $f : \mathbb{R}^d \to \mathbb{R}^d$, $d \ge 2$, such that $\mathrm{Per(f)} = \mathrm{Fix(f)} = \{o\}$, where $o$ denotes the origin, and $(i(f^n, o))_n = I$.

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