Comment by epsilonclose

Thank you for clarifying. I was familiar with the notation A^B for the set of all f: A -> B, but this seemed like something more (and it does appear to be).

Putting some links I looked at here to save someone a few seconds of Googling: https://en.wikipedia.org/wiki/Exponential_object https://ncatlab.org/nlab/show/exponential+object