Continuum function

In mathematics, the continuum function is [math]\displaystyle{ \kappa\mapsto 2^\kappa }[/math], i.e. raising 2 to the power of κ using cardinal exponentiation. Given a cardinal number, it is the cardinality of the power set of a set of the given cardinality.

## See also

* Continuum hypothesis
* Cardinality of the continuum
* Beth number
* Easton's theorem
* Gimel function

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