Continuum function: Difference between revisions

Revision as of 06:09, 4 March 2024

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In mathematics, the '''continuum function''' is <math>\kappa\mapsto 2^\kappa</math>, i.e. raising 2 to the power of &kappa; using [[cardinal exponentiation]].<ref>{{Cite journal |last=Cody |first=Brent |last2=Magidor |first2=Menachem |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}}</ref> Given a [[cardinal number]], it is the cardinality of the [[power set]] of a set of the given cardinality.

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In mathematics, the '''continuum function''' is <math>\kappa\mapsto 2^\kappa</math>, i.e. raising 2 to the power of &kappa; using [[cardinal exponentiation]]. Given a [[cardinal number]], it is the cardinality of the [[power set]] of a set of the given cardinality.

==See also==

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[[Category:Cardinal numbers]]

== References ==

{{Reflist}}{{settheory-stub}}