Continuum function

In mathematics, the continuum function is the function $\kappa \mapsto 2^{\kappa }$ on cardinals, i.e. raising 2 to the power of κ using cardinal exponentiation. 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