Fixed-point sets of autohomeomorphisms of compact $F$-spaces
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- by K. P. Hart and J. Vermeer PDF
- Proc. Amer. Math. Soc. 123 (1995), 311-314 Request permission
Abstract:
We investigate fixed-point sets of autohomeomorphisms of compact F-spaces. If the space in question is finite dimensional (in the sense of covering dimension), then the fixed-point set is a P-set; on the other hand there is an infinite-dimensional compact F-space with an involution whose fixed-point set is not a P-set. In addition we show that under CH a closed subset of ${\omega ^ \ast }$ is a P-set iff it is the fixed-point set of an autohomeomorphism.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 311-314
- MSC: Primary 54G05; Secondary 54C45, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1995-1260168-2
- MathSciNet review: 1260168