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

DOI

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. 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
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