# Fixed point sets of homeomorphisms of metric products

@inproceedings{Martin1988FixedPS, title={Fixed point sets of homeomorphisms of metric products}, author={John R. Martin}, year={1988} }

In this paper it is investigated as to when a nonempty closed subset A of a metric product X containing intervals or spheres as factors can be the fixed point set of an autohomeomorphism of X. It is shown that if X is the Hilbert cube Q or contains either the real line R or a (2n 1)-sphere S2n-1 as a factor, then A can be any nonempty closed subset. In the case where A is in Int(Bf2n+1), the interior of the closed unit (2n + 1)-ball B2n+l, a strong necessary condition is given. In particular… Expand

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