Weak Wecken's theorem for periodic points in dimension 3
Fundamenta Mathematicae (2003)
- Volume: 180, Issue: 3, page 223-239
- ISSN: 0016-2736
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topJerzy Jezierski. "Weak Wecken's theorem for periodic points in dimension 3." Fundamenta Mathematicae 180.3 (2003): 223-239. <http://eudml.org/doc/286273>.
@article{JerzyJezierski2003,
abstract = {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 $N(f^\{k\})$ for k dividing n all vanish. This generalizes the result from [Je] to dimension 3.},
author = {Jerzy Jezierski},
journal = {Fundamenta Mathematicae},
keywords = {fixed point; periodic point; Lefschetz number; Nielsen number; Halpern conjecture; Wecken theorem},
language = {eng},
number = {3},
pages = {223-239},
title = {Weak Wecken's theorem for periodic points in dimension 3},
url = {http://eudml.org/doc/286273},
volume = {180},
year = {2003},
}
TY - JOUR
AU - Jerzy Jezierski
TI - Weak Wecken's theorem for periodic points in dimension 3
JO - Fundamenta Mathematicae
PY - 2003
VL - 180
IS - 3
SP - 223
EP - 239
AB - 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 $N(f^{k})$ for k dividing n all vanish. This generalizes the result from [Je] to dimension 3.
LA - eng
KW - fixed point; periodic point; Lefschetz number; Nielsen number; Halpern conjecture; Wecken theorem
UR - http://eudml.org/doc/286273
ER -
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