Regular-open Definition

adjective

(rare, mathematics, of a set) Being the interior of its closure.

The set (0,1)∪(1,2) is open, but is not regular open, because its closure is [0,2], so the interior of its closure is (0,2).
Wiktionary

Origin of Regular-open

  • From regular + open; apparently a backformation from regular open set.

    From Wiktionary

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