Definition 13.1.9 (Relative Interior).label Let $c\suf\R^{n}$ be nonempty then the relative interior of $c$ is
\begin{align*}Reint(c)\define \curl{x\in c:\exists r>0,B(x,r)\cap Aff(c)\suf c}\end{align*}
which can be viewed as taking interior inside $Aff(c)$ viewed as a subspace.
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