# Fixed point sets of autohomeomorphisms of uncountable products

@article{Chigogidze1997FixedPS, title={Fixed point sets of autohomeomorphisms of uncountable products}, author={A. Chigogidze and John R. Martin}, journal={Topology and its Applications}, year={1997}, volume={80}, pages={63-71} }

Abstract It is shown that every nonempty closed subset of any uncountable power of a metrizable compact group (or the real line or the irrationals) is the fixed point set an autohomeomorphism of that power.

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SHOWING 1-10 OF 12 REFERENCES

Fixed point sets of transformation groups of Menger manifolds, their pseudo-interiors and their pseudo-boundaries

- Mathematics
- 1996