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}
}
  • H. Schirmer
  • Published 1969
  • Mathematics
  • Israel Journal of Mathematics
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. 
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References