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Let a continuum and a mapping
be given. For each natural number
denote by the -th iteration of . A point is
called a *recurrent point*
*of* provided that for every neighborhood of
there is
such that
.
The set of recurrent points of a mapping
are denoted by .

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

*2001-11-30*