Finite Union of Closed Sets is Closed
Jump to navigation
Jump to search
Theorem
Topology
Let $T = \struct {S, \tau}$ be a topological space.
Then the union of finitely many closed sets of $T$ is itself closed.
Normed Vector Space
Let $M = \struct {X, \norm {\, \cdot \,} }$ be a normed vector space.
Then the union of finitely many closed sets of $M$ is itself closed.