Realization of fixed point sets of relative maps

Volume 213 / 2011

Moo Ha Woo, Xuezhi Zhao Fundamenta Mathematicae 213 (2011), 95-113 MSC: Primary 55M20. DOI: 10.4064/fm213-2-1

Abstract

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 $f$.

Authors

  • Moo Ha WooDepartment of Mathematics Education
    Korea University
    Seoul, 136-701, Korea
    e-mail
  • Xuezhi ZhaoDepartment of Mathematics
    & Institute of Mathematics
    and Interdisciplinary Science
    Capital Normal University
    Beijing 100048, P.R. China
    e-mail

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