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A topological space
is
called pointwise self-homeomorphic at a point
if for any neighborhood
of
there is a
set
such that
and
is
homeomorphic to
. The space
is called
pointwise self-homeomorphic
if it is pointwise self-homeomorphic at each of its
points.
Next: pseudo-arc
Up: Definitions
Previous: periodic-recurrent property
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30