Let and f:Xn→Xnbe a continuous map. If f is a second descendible map,
then P(f) is closed if and only if
one of the following hold: 1) ; 2) For anyz ε R (f), there exists a yεw (z,f) ∩ P(f) such that every point of
the set orb (y,f) is a isolated point of the
set w (z,f); 3) For any z ε R(f), the set w (z,f) is finite; 4) For anyz ε R(f), the set w' (z,f) is finite. The consult give
another condition of f with closed periodic set
other than .
Cite this paper
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