Given a relative map f: (X,A) → (X,A) on a pair (X,A) of compact polyhedra and a closed subset Y of X, we shall give some criteria for Y to be the fixed point set of some map relatively homotopic to f.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm213-2-1, author = {Moo Ha Woo and Xuezhi Zhao}, title = {Realization of fixed point sets of relative maps}, journal = {Fundamenta Mathematicae}, volume = {215}, year = {2011}, pages = {95-113}, zbl = {1230.55002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm213-2-1} }
Moo Ha Woo; Xuezhi Zhao. Realization of fixed point sets of relative maps. Fundamenta Mathematicae, Tome 215 (2011) pp. 95-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm213-2-1/