Bounded (set theory)

Bounded (set theory)

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

:sup(X)= lambda.,

For functions, bounded or unboundedness refers to the range of the function when considered as a subset of the codomain.

ee also

*Club set

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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