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isolated∗
djao†
2013-03-21 13:03:12
Let X be a topological space, let S ⊂ X, and let x ∈ S. The point x is
said to be an isolated point of S if there exists an open set U ⊂ X such that
U ∩ S = {x}.
The set S is isolated or discrete if every point in S is an isolated point.
∗ hIsolatedi created: h2013-03-21i by: hdjaoi version: h31201i Privacy setting: h1i
hDefinitioni h54A05i
† 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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