Abstract:

Let X,Y be topological spaces, f:X-->Y,g:Y-->X. In this paper, follow conclutions are obtained:(1)f(Fix((g f)^n))=Fix((f g)^n), g(Fix((f g)^n))=Fix((g f)^n),and #Fix((g f)^n)=#Fix((f g)^n);(2)R((g f)^n)=R((f g)^n).where n is a natural number.

Key words: Self-maps, Set of fixed points, Fixed point class, Reidemeister number; Topological entropy