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The set of periodic points and of recurrent points of a mapping
are denoted by and respectively. Clearly
.
A continuum is said to have the *periodic-recurrent property*
(shortly
*PR-property*) provided that for every mapping
the
equality
holds.

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*Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih*

*2001-11-30*