FIXED-POINT SETS OF AUTOHOMEOMORPHISMS OF COMPACT F-SPACES

We investigate fixed-point sets of autohomeomorphisms of compact F-spa ces. If the space in question is finite dimensional (in the sense of c overing dimension), then the fixed-point set is a P-set; on the other hand there is an infinite-dimensional compact F-space with an involuti on whose fixed-point set is not a P-set. In addition we show that unde r CH a closed subset of omega is a P-set iff it is the fixed-point se t of an autohomeomorphism.