Definition:Regular Closed Set

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Let $T$ be a topological space.

Let $A \subseteq T$.

Then $A$ is regular closed in $T$ if and only if:

$A = A^{\circ -}$

That is, if and only if $A$ equals the closure of its interior.

Also known as

Some sources use the term regularly closed, but this is not used on $\mathsf{Pr} \infty \mathsf{fWiki}$.

Also see

  • Results about regular closed sets can be found here.