Continuum function

In mathematics, the continuum function is the function κ↦2κ on cardinals, i.e. raising 2 to the power of κ using cardinal exponentiation.[1] Given a cardinal number, the cardinal function yields 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

## References

1. ↑ Cody, Brent; Magidor, Menachem (February 2014). "On supercompactness and the continuum function". Annals of Pure and Applied Logic 165 (2): 620–630. doi:10.1016/j.apal.2013.09.001. ISSN 0168-0072. https://doi.org/10.1016/j.apal.2013.09.001.

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