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Transcript
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.
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