Minimal fixed point sets of relative maps
Zhao, Xue
Fundamenta Mathematicae, Tome 159 (1999), p. 163-180 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212417 
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     volume = {159},
     year = {1999},
     pages = {163-180},
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Zhao, Xue. Minimal fixed point sets of relative maps. Fundamenta Mathematicae, Tome 159 (1999) pp. 163-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv162i2p163bwm/

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