Next: fixed point self-homeomorphic
Up: Definitions
Previous: fixed point
A topological space X is said to have the
fixed set property for a certain class C of maps of X onto
itself provided there exists, for each non-empty closed set
A in X, a map f in C such that f(x) = x if
and only if x is in A.
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-02-21