Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661492 | Topology and its Applications | 2006 | 13 Pages |
Abstract
Boju Jiang introduced a homotopy invariant NFn(f), for a natural number n, which is a lower bound for the cardinality of periodic points, of period n, of a self-map of a compact polyhedron. In [J. Jezierski, Wecken theorem for periodic points, Topology 42 (5) (2003) 1101–1124] and [J. Jezierski, Wecken theorem for fixed and periodic points, in: Handbook of Topological Fixed Point Theory, Kluwer Academic, Dordrecht, 2005] we prove that any self-map of a compact PL-manifold (dimM⩾3) is homotopic to a map g satisfying #Fix(gn)=NFn(f) i.e. NFn(f) is the best such homotopy invariant. Here we give an alternative, simpler proof of these results.
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