Separation axioms | Topology | Properties of topological spaces

Normal space

In topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have disjoint open neighborhoods. A normal Hausdorff space is also called a T4 space. These conditions are examples of separation axioms and their further strengthenings define completely normal Hausdorff spaces, or T5 spaces, and perfectly normal Hausdorff spaces, or T6 spaces. (Wikipedia).

Normal space
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Topological manifold | Urysohn's lemma | Topological space | Lifting property | Zariski topology | Stone–Čech compactification | Tietze extension theorem | Topology | Algebraic variety | Order topology | T1 space | Mathematical analysis | Locally normal space | Hereditary property | Topological vector space | Pseudometric space | Disjoint sets | Sierpiński space | Unit interval | Dowker space | Metrizable space | Second-countable space | Lindelöf space | Pseudonormal space | Hausdorff space | Tychonoff space | Mathematics | Function (mathematics) | Real number | Algebraic geometry | Partition of unity | Compact space | Tychonoff's theorem | Regular space | History of the separation axioms | Sorgenfrey plane | Tychonoff plank | Spectrum of a ring | Separation axiom | Product topology | Closed set