Geodesic
Weak Wecken's theorem for periodic points in dimension 3
Jerzy Jezierski1
1 Institute of Mathematics University of Agriculture Nowoursynowska 159 02-787 Warszawa, Poland
Fundamenta Mathematicae, Tome 180 (2003) no. 3, pp. 223-239 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that a self-map $f : M \to M$ of a compact PL-manifold of dimension $\ge 3 $ is homotopic to a map with no periodic points of period $n$ iff the Nielsen numbers $N(f^k)$ for $k$ dividing $n$ all vanish. This generalizes the result from \cite{JeAnn} to dimension $3$.
DOI : 10.4064/fm180-3-2
Keywords: prove self map compact pl manifold dimension homotopic map periodic points period nielsen numbers dividing vanish generalizes result cite jeann dimension nbsp

Jerzy Jezierski 1

1 Institute of Mathematics University of Agriculture Nowoursynowska 159 02-787 Warszawa, Poland 
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Jerzy Jezierski. Weak Wecken's theorem for periodic points in dimension 3. Fundamenta Mathematicae, Tome 180 (2003) no. 3, pp. 223-239. doi: 10.4064/fm180-3-2

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