Indices of fixed points not accumulated by periodic points
DOI:
https://doi.org/10.12775/TMNA.2016.021Keywords
Fixed point index, Dold relationsAbstract
We prove that for every integer sequence $I$ satisfying Dold relations there exists a map $f \colon \mathbb{R}^d\!\to\! \mathbb{R}^d$, $d\! \ge\! 2$, such that $\rom{Per}(f)\! =\! \rom{Fix}(f) \!=\! \{o\}$, where $o$ denotes the origin, and $(i(f^n, o))_n = I$.References
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