SOME RETRACTIONS OF n-FOLD SYMMETRIC PRODUCT OF THE SPACE X
In this paper, we study some retractions of the space n-fold symmetric product of the space X. We
prove that if a set A is a retract of a topological space X, then the set F n (A) is also a retract of
the space F n (X). Also shown that if a set A is a weak retract of a topological space X, then the
set F n (A) is also a weak retract of the space F n (X). Besides proved that if a set A is a deformation
retract of a topological space X, then the set F n (A) is also a deformation retract of the space F n (X).
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