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.
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)
