Realization of fixed point sets of relative maps
Volume 213 / 2011
Fundamenta Mathematicae 213 (2011), 95-113 MSC: Primary 55M20. DOI: 10.4064/fm213-2-1
Given a relative map $f\colon (X,A)\to (X,A)$ 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 $f$.