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Realization of fixed point sets of relative maps

Moo Ha Woo, Xuezhi Zhao (2011)

Fundamenta Mathematicae

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.

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