# On fixed point sets of homeomorphisms of then-ball

@article{Schirmer1969OnFP, title={On fixed point sets of homeomorphisms of then-ball}, author={H. Schirmer}, journal={Israel Journal of Mathematics}, year={1969}, volume={7}, pages={46-50} }

Conditions are investigated under which a subsetA can be the fixed point set of a homeomorphism ofBn. If eitherA ∩ ∂Bn ≠ Ø andn arbitrary orA ∩ ∂Bn=Ø andn even it is necessary and sufficient thatA is non-empty and closed. IfA ∩ ∂Bn=Ø andn odd, conditions which are either necessary or sufficient (but not both) are given.