Gimel function

From Wikipedia, the free encyclopedia

In axiomatic set theory, the gimel function is the following function mapping cardinal numbers to cardinal numbers:

\gimel\colon\kappa\mapsto\kappa^{\mathrm{cf}(\kappa)}

where cf denotes the cofinality function; the gimel function is used for studying the continuum function and the cardinal exponentiation function. The gimel function is seen to be increasing by König's theorem.

 This mathematical logic-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../g/i/m/Gimel_function.html"
In other languages