Gimel Function
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
.
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