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completely normal∗ Mathprof† 2013-03-21 13:17:41 Let X be a topological space. X is said to be completely normal if whenever A, B ⊆ X with A ∩ B = A ∩ B = ∅, then there are disjoint open sets U and V such that A ⊆ U and B ⊆ V . Equivalently, a topological space X is completely normal if and only if every subspace is normal. ∗ hCompletelyNormali created: h2013-03-21i by: hMathprofi version: h31606i Privacy setting: h1i hDefinitioni h54-00i † 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
