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regular

If X$ is a continuum and p \in X$, then X$ is said to be regular at p$ provided that there is a local base \mathcal L_p$ at p$ such that the boundary of each member of \mathcal L_p$ is of finite cardinality. A continuum is said to be regular provided that X$ 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 up previous contents index
Next: retract, retraction Up: Definitions Previous: refinable (monotonely)
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30