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Let a continuum X be locally connected and let
. By a
cyclic element of X containing p we mean either the singleton
{p}
if p is a cut point or an end point of X, or the set consisting of p
and of all points
such that no point of X cuts X between p
and x, otherwise (see e.g. [78, Chapter 4, ยง2, p. 66]).
Janusz J. Charatonik and Pavel Pyrih
2000-09-21