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diameter∗
drini†
2013-03-21 13:30:23
Let A a subset of a pseudometric space (X, d). The diameter of A is defined
to be
sup{d(x, y) : x ∈ A, y ∈ A}
whenever the supremum exists. If the supremum doesn’t exist, diameter of A
is defined to be infinite.
Having finite diameter is not a topological invariant.
∗ hDiameteri created: h2013-03-21i by: hdrinii version: h31989i 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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