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bounded set∗
Mathprof†
2013-03-21 20:40:46
A set in a topological vector space is bounded if it is absorbed by every
neighborhood of 0. That is, B is bounded if for every neighborhood U of 0,
there is a δ > 0 such that B ⊂ U for 0 ≤ < δ.
∗ hBoundedSeti created: h2013-03-21i by: hMathprofi version: h38004i Privacy setting:
h1i hDefinitioni h46A08i
† 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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