Indices of fixed points not accumulated by periodic points
classification
🧮 math.DS
keywords
mathbbmathrmpointsaccumulateddenotesdoldeveryexists
read the original abstract
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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