All the elements of a topology possess this property with respect to the topology.
A theorem named for this type of mapping says that non-constant analytic functions map sets of this type to other sets of this type. All the elements of a topology possess this property with respect to the topology. For a compact set, every cover of this type has a finite subcover. The interior of any set has this property, and every point in a set with this property is an interior point, meaning that it has a neighborhood contained within the set. A set of this type does not contain its boundary points, and intervals of this type on the real line are denoted with round parentheses. For 10 points, name this property, possessed by sets whose complements are closed.
A theorem named for this type of mapping says that non-constant analytic functions map sets of this type to other sets of this type.
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