Cartesian closedness of the category of real-valued sets, II

Lili Shen, Jian Zhang

Let $[0,1{]}_{\ast }$ be the unit interval $[0,1]$ equipped with a left-continuous t-norm $\ast$. We prove that $[0,1{]}_{\ast }\text{-}\mathbf{Set}$ is cartesian closed if and only if $\ast$ is the min…