Geodesic
Minimal fixed point sets of relative maps
Fundamenta Mathematicae, Tome 162 (1999) no. 2, pp. 163-180.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let f: (X,A) → (X,A) be a self map of a pair of compact polyhedra. It is known that f has at least N(f;X,A) fixed points on X. We give a sufficient and necessary condition for a finite set P (|P| = N(f;X,A)) to be the fixed point set of a map in the relative homotopy class of the given map f. As an application, a new lower bound for the number of fixed points of f on Cl(X-A) is given.
DOI : 10.4064/fm-162-2-163-180
Keywords: fixed point class, minimal fixed point set, relative Nielsen number, bipartite graph, matching

Xue Zhao 1

1 
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Xue Zhao. Minimal fixed point sets of relative maps. Fundamenta Mathematicae, Tome 162 (1999) no. 2, pp. 163-180. doi : 10.4064/fm-162-2-163-180. http://geodesic.mathdoc.fr/articles/10.4064/fm-162-2-163-180/

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