Egbert Th\"ummel
The fixed point set of open mappings on extremally disconnected spaces

Comment.Math.Univ.Carolinae 35,4 (1994) 789-794.

Abstract:We give an example of an extremally disconnected compact Hausdorff space with an open continuous selfmap such that the fixed point set is nonvoid and nowhere dense, resp. that there is exactly one nonisolated fixed point.

Keywords: dynamical systems on extremally disconnected spaces, absolute, Ellentuck space
AMS Subject Classification: 54G05, 54G20, 54H05, 54H20