** Next:** retract, retraction
**Up:** Definitions
** Previous:** refinable (monotonely)

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*