Next: pointwise self-homeomorphic
Up: Definitions
Previous: periodic point of
The set of periodic points and of recurrent points of a mapping
are denoted by P(f) and R(f) respectively. Clearly
.
A continuum X is said to have the periodic-recurrent property
(shortly
PR-property) provided that for every mapping
the
equality
holds.
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-02-21