Continuum function

The continuum function is ${\displaystyle \kappa \mapsto 2^{\kappa }}$, 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.

See also

• Continuum hypothesis
• Cardinality of the continuum
• Beth number
• Gimel function