In T1 spaces, every pair of points is contained in two neighborhoods with this property that do not intersect.
For a set with this property and a function f with singularity at z in that set, f comes arbitrarily close to any complex value around z by the CasoratiWeierstrass theorem. In T1 spaces, every pair of points is contained in two neighborhoods with this property that do not intersect. A G-sub-delta set is a countable intersection of sets with this property, and (*) intersections of infinite sets with this property do not necessarily have this property. The largest subset of a space that has this property is called the interior, and metric spaces have this property if each of their points has a neighborhood around it that is in the set. For 10 points, name this property used to describe sets that do not contain their boundary points.
For a set with this property and a function f with singularity at z in that set, f comes arbitrarily close to any complex value around z by the CasoratiWeierstrass theorem.
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