In mathematics, the '''continuum function''' is the function <math>\kappa\mapsto 2^\kappa</math> on cardinals, i.e. raising 2 to the power of ''κ'' using cardinal exponentiation.<ref>{{Cite journal |last=Cody |first=Brent |last2=Magidor |first2=Menachem |author2link = Menachem Magidor|date=February 2014 |title=On supercompactness and the continuum function |url=https://doi.org/10.1016/j.apal.2013.09.001 |journal=Annals of Pure and Applied Logic |volume=165 |issue=2 |pages=620–630 |doi=10.1016/j.apal.2013.09.001 |issn=0168-0072|arxiv=1306.0449 }}</ref> 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
Category:Cardinal numbers
== References == {{Reflist}}{{settheory-stub}}