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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. 1