Realization of fixed point sets |
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Authors: | Zhao Xuezhi |
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Affiliation: | (1) Department of Mathematics, Liaoning University, 110036 Shenyang, China |
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Abstract: | Letf:XX be a selfmap of a compact connected polyhedron, andA a nonempty closed subset ofX. In this paper, we shall deal with the question whether or not there is a mapg:XX homotopic tof such that the fixed point set Fixg ofg equalsA. We introduce a necessary condition for the existence of such a mapg. It is shown that this condition is easy to check, and hence some sufficient conditions are obtained.Partially supported by the Natural Science Foundation of Liaoning University. |
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Keywords: | Fixed point sets Nielsen number Local cut points Jiang group |
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