Continuum function explained

In mathematics, the continuum function is

\kappa\mapsto 2 ^{\kappa} , i.e. raising 2 to the power of κ using cardinal exponentiation.^[1] 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

Notes and References

1. Cody . Brent . Magidor . Menachem . February 2014 . On supercompactness and the continuum function . . 165 . 2 . 620–630 . 10.1016/j.apal.2013.09.001 . 0168-0072. 1306.0449 .