In axiomatic set theory, the gimel function is the following function mapping cardinal numbers to cardinal numbers: ℷ : κ ↦ κ c f ( κ ) {\displaystyle \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 symbol ℷ {\displaystyle \gimel } is a serif form of the Hebrew letter gimel.
In axiomatic set theory, the gimel function is the following function mapping cardinal numbers to cardinal numbers: ℷ : κ ↦ κ c f ( κ ) {\displaystyle \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 symbol ℷ {\displaystyle \gimel } is a serif form of the Hebrew letter gimel.
Source: Wikipedia "Gimel function" · CC BY-SA 4.0
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