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normal∗ Koro† 2013-03-21 13:15:31 A topological space X is said to be normal if X is T1 (i.e. singletons are closed), and for all disjoint closed sets D, F ⊆ X there exist disjoint open sets U and V such that C ⊆ U and D ⊆ V (i.e, X is also T4 ). Some authors do not require the T1 axiom as part of this definition. ∗ hNormali created: h2013-03-21i by: hKoroi version: h31532i Privacy setting: h1i hDefinitioni h54D15i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
