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A connected space
is aposyndetic at
with respect
to
if there is a closed connected subset of
with
in its interior and not intersecting
, and
is
aposyndetic if it is aposyndetic at each point with respect
to every other point.
A continuum
is said to be aposyndetic provided that for
each point
and for each
there exists a
subcontinuum
of
and an open set
of
such that
(see e.g.[Nadler 1992, Exercise 1.22, p. 12]).
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Previous: almost chainable
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30