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《Journal of Chongqing Teachers College(Natural Science Edition)》 1992-02
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Necessary Condition of Continuous Self-mapping of a Class of the Square with Prime Periodic Points

Jin Yuguang (Department of Mathematics)  
Let f be a continuous map of a unit square into itself, f is a descent of f. In this paper, the writer mainly gives proof of a condition which is necessary for self-mapping of this class to have prime periodic points. Namely, f has prime periodic points only if there is a point xeO(f), that is, x is not a periodic point but an eventually periodic point.
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