In mathematics, the continuum function is κ ↦ 2 κ {\displaystyle \kappa \mapsto 2^{\kappa }} , 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.
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See also
References
Cody, Brent; Magidor, Menachem (February 2014). "On supercompactness and the continuum function". Annals of Pure and Applied Logic. 165 (2): 620–630. arXiv:1306.0449. doi:10.1016/j.apal.2013.09.001. ISSN 0168-0072. https://doi.org/10.1016/j.apal.2013.09.001 ↩