PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 63 (77), pp. 131142 (1998) 

On sets of periodic and of recurrent pointsJanusz J. CharatonikMathematical Institute, University of Wroclaw, Wroclaw, PolandAbstract: It is shown that if a continuum $X$ contains the Gehman dendrite as its retract, then there exists a mapping $f$ of $X$ such that the closure of the set of periodic points of $f$ is a proper subset of the closure of the set of recurrent points of $f$. Other continua with this property are presented, and a number of related questions are asked. Keywords: dendrite, nonwandering point, periodic point, recurrent point, retraction Classification (MSC2000): 54F20; 54F50 Full text of the article:
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