In set theory a subset X of a limit ordinal λ is said to be bounded if its supremum is less than λ. If it is not bounded, it is unbounded, that is
For functions, bounded or unboundedness refers to the range of the function when considered as a subset of the codomain.
See also
References
- Jech, Thomas, 2003. Set Theory: The Third Millennium Edition, Revised and Expanded. Springer. ISBN 3-540-44085-2.
- Kunen, Kenneth, 1980. Set Theory: An Introduction to Independence Proofs. Elsevier. ISBN 0-444-86839-9.
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