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If
is a continuum and
, then
is said to
be regular at
provided that there is a local base
at
such that the boundary of each member of
is of finite cardinality. A continuum is said to
be regular provided that
is regular at each of its
points.
A continuum is regular if each two of its points can
be separated by a finite point set.
Next: retract, retraction
Up: Definitions
Previous: refinable (monotonely)
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30