Weak Wecken's theorem for periodic points in dimension 3
Jerzy Jezierski
Fundamenta Mathematicae, Tome 177 (2003), p. 223-239 / Harvested from The Polish Digital Mathematics Library
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We prove that a self-map f: M → M of a compact PL-manifold of dimension ≥ 3 is homotopic to a map with no periodic points of period n iff the Nielsen numbers N(fk) for k dividing n all vanish. This generalizes the result from [Je] to dimension 3.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:286273 
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     volume = {177},
     year = {2003},
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Jerzy Jezierski. Weak Wecken's theorem for periodic points in dimension 3. Fundamenta Mathematicae, Tome 177 (2003) pp. 223-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm180-3-2/