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GeezerVison is showing mathworld.wolfram.com — Set Function -- from Wolfram MathWorld

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Set Function

A set function is a function whose domain is a set of sets. In many instances in real analysis, a set function is a function which associates an affinely extended real number to each set in such a domain.

See also

Affinely Extended Real Numbers, Collection, Function, Monotonic Function, Real Analysis, Set

This entry contributed by Christopher Stover

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References

Royden, H. L. and Fitzpatrick, P. M. Real Analysis, 4th ed. Boston, MA: Pearson-Prentice Hall, 2010.

Referenced on Wolfram|Alpha

Set Function

Cite this as:

Weisstein, Eric W., with contributions by Christopher Stover. "Set Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SetFunction.html

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